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56972608 = 2671121051
BaseRepresentation
bin1101100101010…
…1010101000000
310222012111201121
43121111111000
5104041110413
65353042024
71261154620
oct331252500
9128174647
1056972608
112a183400
12170b6314
13ba5a004
1477d0880
155005b8d
hex3655540

56972608 has 84 divisors (see below), whose sum is σ = 142154656. Its totient is φ = 22176000.

The previous prime is 56972603. The next prime is 56972609. The reversal of 56972608 is 80627965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56972603) by changing a digit.

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, 53683 + ... + 54733.

Almost surely, 256972608 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 56972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71077328).

56972608 is an abundant number, since it is smaller than the sum of its proper divisors (85182048).

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

56972608 is a wasteful number, since it uses less digits than its factorization.

56972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 56972608 is about 7548.0201377580. The cubic root of 56972608 is about 384.7884552130.

The spelling of 56972608 in words is "fifty-six million, nine hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1051 1232 1694 1936 2102 2464 3388 3872 4204 4928 6776 7357 7744 8408 11561 13552 14714 16816 23122 27104 29428 33632 46244 54208 58856 67264 80927 92488 117712 127171 161854 184976 235424 254342 323708 369952 470848 508684 647416 739904 890197 1017368 1294832 1780394 2034736 2589664 3560788 4069472 5179328 7121576 8138944 14243152 28486304 56972608