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57188272 = 2417533967
BaseRepresentation
bin1101101000100…
…1111110110000
310222121110120011
43122021332300
5104120011042
65401424304
71263043441
oct332117660
9128543504
1057188272
112a310439
121719b094
13bb0421b
1478492c8
155049a17
hex3689fb0

57188272 has 40 divisors (see below), whose sum is σ = 119563776. Its totient is φ = 26397696.

The previous prime is 57188249. The next prime is 57188279. The reversal of 57188272 is 27288175.

It is not an unprimeable number, because it can be changed into a prime (57188279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12433 + ... + 16399.

Almost surely, 257188272 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 57188272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59781888).

57188272 is an abundant number, since it is smaller than the sum of its proper divisors (62375504).

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

57188272 is a wasteful number, since it uses less digits than its factorization.

57188272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4039 counting only the distinct ones).

The product of its digits is 62720, while the sum is 40.

The square root of 57188272 is about 7562.2927740203. The cubic root of 57188272 is about 385.2733696864.

It can be divided in two parts, 57188 and 272, that multiplied together give a square (15555136 = 39442).

The spelling of 57188272 in words is "fifty-seven million, one hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 3967 7208 7934 14416 15868 31736 63472 67439 134878 210251 269756 420502 539512 841004 1079024 1682008 3364016 3574267 7148534 14297068 28594136 57188272