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57051252 = 223217731277
BaseRepresentation
bin1101100110100…
…0100001110100
310222100111121100
43121220201310
5104101120002
65354450100
71261633116
oct331504164
9128314540
1057051252
112a2274a5
1217133930
13ba86a4b
1478113b6
15501e11c
hex3668874

57051252 has 72 divisors (see below), whose sum is σ = 154908936. Its totient is φ = 17639424.

The previous prime is 57051221. The next prime is 57051257. The reversal of 57051252 is 25215075.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21123216 + 35928036 = 4596^2 + 5994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57051257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44038 + ... + 45314.

It is an arithmetic number, because the mean of its divisors is an integer number (2151513).

Almost surely, 257051252 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 57051252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77454468).

57051252 is an abundant number, since it is smaller than the sum of its proper divisors (97857684).

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

57051252 is a wasteful number, since it uses less digits than its factorization.

57051252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 57051252 is about 7553.2279192409. The cubic root of 57051252 is about 384.9654255791.

The spelling of 57051252 in words is "fifty-seven million, fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1277 1314 2482 2554 2628 3723 3831 4964 5108 7446 7662 11169 11493 14892 15324 21709 22338 22986 43418 44676 45972 65127 86836 93221 130254 186442 195381 260508 279663 372884 390762 559326 781524 838989 1118652 1584757 1677978 3169514 3355956 4754271 6339028 9508542 14262813 19017084 28525626 57051252