Search a number
-
+
5600928 = 253411423
BaseRepresentation
bin10101010111011010100000
3101112120000210
4111113122200
52413212203
6320014120
765415144
oct25273240
911476023
105600928
113186073
121a61340
131211478
14a5b224
15759803
hex5576a0

5600928 has 48 divisors (see below), whose sum is σ = 15071616. Its totient is φ = 1820160.

The previous prime is 5600921. The next prime is 5600951. The reversal of 5600928 is 8290065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×56009282 = 62740788922368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5600895 and 5600904.

It is not an unprimeable number, because it can be changed into a prime (5600921) 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 7 ways as a sum of consecutive naturals, for example, 3225 + ... + 4647.

It is an arithmetic number, because the mean of its divisors is an integer number (313992).

Almost surely, 25600928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535808).

5600928 is an abundant number, since it is smaller than the sum of its proper divisors (9470688).

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

5600928 is a wasteful number, since it uses less digits than its factorization.

5600928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5600928 is about 2366.6279809045. The cubic root of 5600928 is about 177.5906090319.

The spelling of 5600928 in words is "five million, six hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1423 1968 2846 3936 4269 5692 8538 11384 17076 22768 34152 45536 58343 68304 116686 136608 175029 233372 350058 466744 700116 933488 1400232 1866976 2800464 5600928