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57055032 = 23327111161
BaseRepresentation
bin1101100110100…
…1011100111000
310222100200210100
43121221130320
5104101230112
65354515400
71261650126
oct331513470
9128320710
1057055032
112a22a321
1217135b60
13ba88698
147812916
1550202dc
hex3669738

57055032 has 48 divisors (see below), whose sum is σ = 156714480. Its totient is φ = 18748800.

The previous prime is 57055021. The next prime is 57055051. The reversal of 57055032 is 23055075.

It is a junction number, because it is equal to n+sod(n) for n = 57054987 and 57055005.

It is a congruent number.

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, 469 + ... + 10692.

It is an arithmetic number, because the mean of its divisors is an integer number (3264885).

Almost surely, 257055032 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 57055032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78357240).

57055032 is an abundant number, since it is smaller than the sum of its proper divisors (99659448).

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

57055032 is a wasteful number, since it uses less digits than its factorization.

57055032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 57055032 is about 7553.4781392416. The cubic root of 57055032 is about 384.9739275086.

The spelling of 57055032 in words is "fifty-seven million, fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 11161 22322 33483 44644 66966 89288 100449 133932 200898 267864 401796 792431 803592 1584862 2377293 3169724 4754586 6339448 7131879 9509172 14263758 19018344 28527516 57055032