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56805552 = 24321133491
BaseRepresentation
bin1101100010110…
…0100010110000
310221220000120100
43120230202300
5104020234202
65345312400
71256560566
oct330544260
9127800510
1056805552
112a079941
1217035700
13b9cbc6b
147789a36
154ec141c
hex362c8b0

56805552 has 60 divisors (see below), whose sum is σ = 160429464. Its totient is φ = 18762240.

The previous prime is 56805527. The next prime is 56805629. The reversal of 56805552 is 25550865.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14527 + ... + 18017.

Almost surely, 256805552 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 56805552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80214732).

56805552 is an abundant number, since it is smaller than the sum of its proper divisors (103623912).

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

56805552 is a wasteful number, since it uses less digits than its factorization.

56805552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 56805552 is about 7536.9458005216. The cubic root of 56805552 is about 384.4119927117.

The spelling of 56805552 in words is "fifty-six million, eight hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 3491 4068 5424 6982 8136 10473 13964 16272 20946 27928 31419 41892 55856 62838 83784 125676 167568 251352 394483 502704 788966 1183449 1577932 2366898 3155864 3550347 4733796 6311728 7100694 9467592 14201388 18935184 28402776 56805552