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56397264 = 24371115259
BaseRepresentation
bin1101011100100…
…0110111010000
310221010021111120
43113020313100
5103414203024
65332442240
71253240340
oct327106720
9127107446
1056397264
1129920110
1216a79380
13b8b8181
1476c0d20
154e40479
hex35c8dd0

56397264 has 80 divisors (see below), whose sum is σ = 181655040. Its totient is φ = 14647680.

The previous prime is 56397259. The next prime is 56397269. The reversal of 56397264 is 46279365.

56397264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56397259) and next prime (56397269).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56397269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (2270688).

Almost surely, 256397264 is an apocalyptic number.

It is an amenable number.

56397264 is an abundant number, since it is smaller than the sum of its proper divisors (125257776).

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

56397264 is a wasteful number, since it uses less digits than its factorization.

56397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15282 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 56397264 is about 7509.8111827129. The cubic root of 56397264 is about 383.4887945790.

The spelling of 56397264 in words is "fifty-six million, three hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 15259 30518 45777 61036 91554 106813 122072 167849 183108 213626 244144 320439 335698 366216 427252 503547 640878 671396 732432 854504 1007094 1174943 1281756 1342792 1709008 2014188 2349886 2563512 2685584 3524829 4028376 4699772 5127024 7049658 8056752 9399544 14099316 18799088 28198632 56397264