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4489000000 = 2656672
BaseRepresentation
bin1000010111001000…
…01011010001000000
3102120211211211100021
410023210023101000
533143141000000
62021234503224
7216145604362
oct41344132100
912524754307
104489000000
1119a3a18161
12a53434b14
13567024a24
14308284d32
151b416911a
hex10b90b440

4489000000 has 147 divisors (see below), whose sum is σ = 11303351409. Its totient is φ = 1768800000.

The previous prime is 4488999973. The next prime is 4489000001. The reversal of 4489000000 is 9844.

The square root of 4489000000 is 67000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3932794944 + 556205056 = 62712^2 + 23584^2 .

It is a super-2 number, since 2×44890000002 = 40302242000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4489000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 66999967 + ... + 67000033.

It is an arithmetic number, because the mean of its divisors is an integer number (76893547).

Almost surely, 24489000000 is an apocalyptic number.

4489000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4489000000 is the 67000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4489000000

4489000000 is an abundant number, since it is smaller than the sum of its proper divisors (6814351409).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4489000000 is an frugal number, since it uses more digits than its factorization.

4489000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 4489000000 is about 1649.6172972234.

Multiplying 4489000000 by its sum of digits (25), we get a square (112225000000 = 3350002).

4489000000 divided by its sum of digits (25) gives a square (179560000 = 134002).

Adding to 4489000000 its reverse (9844), we get a palindrome (4489009844).

The spelling of 4489000000 in words is "four billion, four hundred eighty-nine million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 134 160 200 250 268 320 335 400 500 536 625 670 800 1000 1072 1250 1340 1600 1675 2000 2144 2500 2680 3125 3350 4000 4288 4489 5000 5360 6250 6700 8000 8375 8978 10000 10720 12500 13400 15625 16750 17956 20000 21440 22445 25000 26800 31250 33500 35912 40000 41875 44890 50000 53600 62500 67000 71824 83750 89780 100000 107200 112225 125000 134000 143648 167500 179560 200000 209375 224450 250000 268000 287296 335000 359120 418750 448900 500000 536000 561125 670000 718240 837500 897800 1000000 1046875 1122250 1340000 1436480 1675000 1795600 2093750 2244500 2680000 2805625 3350000 3591200 4187500 4489000 5611250 6700000 7182400 8375000 8978000 11222500 13400000 14028125 16750000 17956000 22445000 28056250 33500000 35912000 44890000 56112500 67000000 70140625 89780000 112225000 140281250 179560000 224450000 280562500 448900000 561125000 897800000 1122250000 2244500000 4489000000