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57706272 = 25321315413
BaseRepresentation
bin1101110000100…
…0011100100000
311000120210010100
43130020130200
5104233100042
65420502400
71300331601
oct334103440
9130523110
1057706272
112a634638
12173aaa00
13bc55c30
147941da8
1550ed24c
hex3708720

57706272 has 72 divisors (see below), whose sum is σ = 176736924. Its totient is φ = 17754624.

The previous prime is 57706237. The next prime is 57706289. The reversal of 57706272 is 27260775.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 7056 = 7596^2 + 84^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3963 + ... + 11450.

Almost surely, 257706272 is an apocalyptic number.

57706272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

57706272 is an abundant number, since it is smaller than the sum of its proper divisors (119030652).

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

57706272 is a wasteful number, since it uses less digits than its factorization.

57706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57706272 is about 7596.4644407777. The cubic root of 57706272 is about 386.4331183115.

The spelling of 57706272 in words is "fifty-seven million, seven hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 15413 30826 46239 61652 92478 123304 138717 184956 200369 246608 277434 369912 400738 493216 554868 601107 739824 801476 1109736 1202214 1479648 1602952 1803321 2219472 2404428 3205904 3606642 4438944 4808856 6411808 7213284 9617712 14426568 19235424 28853136 57706272