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56259936 = 25321711491
BaseRepresentation
bin1101011010011…
…1010101100000
310220212022010100
43112213111200
5103400304221
65325502400
71252126065
oct326472540
9126768110
1056259936
1129836a17
1216a11a00
13b86a805
147686c6c
154e14926
hex35a7560

56259936 has 72 divisors (see below), whose sum is σ = 169415064. Its totient is φ = 17648640.

The previous prime is 56259923. The next prime is 56259941. The reversal of 56259936 is 63995265.

56259936 is a `hidden beast` number, since 56 + 2 + 599 + 3 + 6 = 666.

56259936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 56259891 and 56259900.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 850 + ... + 10641.

It is an arithmetic number, because the mean of its divisors is an integer number (2352987).

Almost surely, 256259936 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 56259936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84707532).

56259936 is an abundant number, since it is smaller than the sum of its proper divisors (113155128).

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

56259936 is a wasteful number, since it uses less digits than its factorization.

56259936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11513 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 56259936 is about 7500.6623707510. The cubic root of 56259936 is about 383.1772750183.

The spelling of 56259936 in words is "fifty-six million, two hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 11491 22982 34473 45964 68946 91928 103419 137892 183856 195347 206838 275784 367712 390694 413676 551568 586041 781388 827352 1103136 1172082 1562776 1654704 1758123 2344164 3125552 3309408 3516246 4688328 6251104 7032492 9376656 14064984 18753312 28129968 56259936