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4859040 = 253553191
BaseRepresentation
bin10010100010010010100000
3100010212100110
4102202102200
52220442130
6252051320
756205204
oct22422240
910125313
104859040
11281973a
121763b40
131011894
14906b04
1565eab0
hex4a24a0

4859040 has 96 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 1264640.

The previous prime is 4859017. The next prime is 4859081. The reversal of 4859040 is 409584.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48590402 = 47220539443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4858989 and 4859007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25345 + ... + 25535.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 24859040 is an apocalyptic number.

4859040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

4859040 is an abundant number, since it is smaller than the sum of its proper divisors (10817376).

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

4859040 is a wasteful number, since it uses less digits than its factorization.

4859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4859040 is about 2204.3230253300. The cubic root of 4859040 is about 169.3753314445.

The spelling of 4859040 in words is "four million, eight hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 191 212 240 265 318 382 424 480 530 573 636 764 795 848 955 1060 1146 1272 1528 1590 1696 1910 2120 2292 2544 2865 3056 3180 3820 4240 4584 5088 5730 6112 6360 7640 8480 9168 10123 11460 12720 15280 18336 20246 22920 25440 30369 30560 40492 45840 50615 60738 80984 91680 101230 121476 151845 161968 202460 242952 303690 323936 404920 485904 607380 809840 971808 1214760 1619680 2429520 4859040