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56527536 = 24313157577
BaseRepresentation
bin1101011110100…
…0101010110000
310221100220012110
43113220222300
5103432340121
65335325320
71254322212
oct327505260
9127326173
1056527536
11299a9a7a
1216b20840
13b932560
1477165b2
154e68d76
hex35e8ab0

56527536 has 80 divisors (see below), whose sum is σ = 158538464. Its totient is φ = 17252352.

The previous prime is 56527529. The next prime is 56527543. The reversal of 56527536 is 63572565.

56527536 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 (56527529) and next prime (56527543).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 56527494 and 56527503.

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 15 ways as a sum of consecutive naturals, for example, 97680 + ... + 98256.

Almost surely, 256527536 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 56527536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79269232).

56527536 is an abundant number, since it is smaller than the sum of its proper divisors (102010928).

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

56527536 is a wasteful number, since it uses less digits than its factorization.

56527536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 56527536 is about 7518.4796335429. The cubic root of 56527536 is about 383.7838410175.

The spelling of 56527536 in words is "fifty-six million, five hundred twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 314 471 577 624 628 942 1154 1256 1731 1884 2041 2308 2512 3462 3768 4082 4616 6123 6924 7501 7536 8164 9232 12246 13848 15002 16328 22503 24492 27696 30004 32656 45006 48984 60008 90012 90589 97968 120016 180024 181178 271767 360048 362356 543534 724712 1087068 1177657 1449424 2174136 2355314 3532971 4348272 4710628 7065942 9421256 14131884 18842512 28263768 56527536