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56972970 = 2345371901
BaseRepresentation
bin1101100101010…
…1011010101010
310222012112020000
43121111122222
5104041113340
65353043430
71261155645
oct331253252
9128175200
1056972970
112a1836aa
12170b6576
13ba5a222
1477d0a5c
155005d30
hex36556aa

56972970 has 80 divisors (see below), whose sum is σ = 157417128. Its totient is φ = 14774400.

The previous prime is 56972969. The next prime is 56972999. The reversal of 56972970 is 7927965.

It can be written as a sum of positive squares in 4 ways, for example, as 44715969 + 12257001 = 6687^2 + 3501^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29020 + ... + 30920.

Almost surely, 256972970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56972970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78708564).

56972970 is an abundant number, since it is smaller than the sum of its proper divisors (100444158).

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

56972970 is a wasteful number, since it uses less digits than its factorization.

56972970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 56972970 is about 7548.0441175181. The cubic root of 56972970 is about 384.7892701843.

The spelling of 56972970 in words is "fifty-six million, nine hundred seventy-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1901 1998 2997 3330 3802 4995 5703 5994 9505 9990 11406 14985 17109 19010 28515 29970 34218 51327 57030 70337 85545 102654 140674 153981 171090 211011 256635 307962 351685 422022 513270 633033 703370 769905 1055055 1266066 1539810 1899099 2110110 3165165 3798198 5697297 6330330 9495495 11394594 18990990 28486485 56972970