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57038292 = 22323894073
BaseRepresentation
bin1101100110010…
…1010111010100
310222022211211100
43121211113110
5104100211132
65354310100
71261550253
oct331452724
9128284740
1057038292
112a218793
1217128330
13ba80b8c
14780a79a
15501a37c
hex36655d4

57038292 has 36 divisors (see below), whose sum is σ = 144586260. Its totient is φ = 18959232.

The previous prime is 57038291. The next prime is 57038327. The reversal of 57038292 is 29283075.

It is a happy number.

57038292 is a `hidden beast` number, since 570 + 3 + 82 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 47527236 = 3084^2 + 6894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57038291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11968 + ... + 16040.

It is an arithmetic number, because the mean of its divisors is an integer number (4016285).

Almost surely, 257038292 is an apocalyptic number.

It is an amenable number.

57038292 is an abundant number, since it is smaller than the sum of its proper divisors (87547968).

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

57038292 is a wasteful number, since it uses less digits than its factorization.

57038292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57038292 is about 7552.3699591585. The cubic root of 57038292 is about 384.9362732551.

The spelling of 57038292 in words is "fifty-seven million, thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4073 4668 7002 8146 12219 14004 16292 24438 36657 48876 73314 146628 1584397 3168794 4753191 6337588 9506382 14259573 19012764 28519146 57038292