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5256264 = 2331317991
BaseRepresentation
bin10100000011010001001000
3100220001020110
4110003101020
52321200024
6304354320
762451246
oct24032110
910801213
105256264
112a70122
1219159a0
131120620
149ab796
156dc629
hex503448

5256264 has 64 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1520640.

The previous prime is 5256263. The next prime is 5256269. The reversal of 5256264 is 4626525.

It is a super-2 number, since 2×52562642 = 55256622475392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 58 + 29 + 58 + 6 + 222 + 67 + 44 .

It is not an unprimeable number, because it can be changed into a prime (5256263) by changing a digit.

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, 4809 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 25256264 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 5256264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5256264 is an abundant number, since it is smaller than the sum of its proper divisors (9742776).

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

5256264 is a wasteful number, since it uses less digits than its factorization.

5256264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5256264 is about 2292.6543568536. The cubic root of 5256264 is about 173.8704280439.

The spelling of 5256264 in words is "five million, two hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 991 1326 1768 1982 2652 2973 3964 5304 5946 7928 11892 12883 16847 23784 25766 33694 38649 50541 51532 67388 77298 101082 103064 134776 154596 202164 219011 309192 404328 438022 657033 876044 1314066 1752088 2628132 5256264