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4840000 = 2654112
BaseRepresentation
bin10010011101101001000000
3100002220020021
4102131221000
52214340000
6251423224
756065534
oct22355100
910086207
104840000
112806400
121754b14
131006009
148ddbc4
1565911a
hex49da40

4840000 has 105 divisors (see below), whose sum is σ = 13191871. Its totient is φ = 1760000.

The previous prime is 4839997. The next prime is 4840027. The reversal of 4840000 is 484.

The square root of 4840000 is 2200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 4460544 = 616^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 439995 + ... + 440005.

Almost surely, 24840000 is an apocalyptic number.

4840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4840000 is the 2200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4840000

4840000 is an abundant number, since it is smaller than the sum of its proper divisors (8351871).

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

4840000 is an equidigital number, since it uses as much as digits as its factorization.

4840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 4840000 is about 169.1538111623.

Multiplying 4840000 by its sum of digits (16), we get a square (77440000 = 88002).

4840000 divided by its sum of digits (16) gives a square (302500 = 5502).

Adding to 4840000 its reverse (484), we get a palindrome (4840484).

Multiplying 4840000 by its reverse (484), we get a 4-th power (2342560000 = 2204).

4840000 divided by its reverse (484) gives a 4-th power (10000 = 104).

The spelling of 4840000 in words is "four million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 625 704 800 880 968 1000 1100 1210 1250 1375 1600 1760 1936 2000 2200 2420 2500 2750 3025 3520 3872 4000 4400 4840 5000 5500 6050 6875 7744 8000 8800 9680 10000 11000 12100 13750 15125 17600 19360 20000 22000 24200 27500 30250 38720 40000 44000 48400 55000 60500 75625 88000 96800 110000 121000 151250 193600 220000 242000 302500 440000 484000 605000 968000 1210000 2420000 4840000