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57557840 = 2451921993
BaseRepresentation
bin1101101110010…
…0001101010000
311000022020111212
43123210031100
5104213322330
65413355252
71266143054
oct333441520
9130266455
1057557840
112a54306a
1217338b28
13bc034c2
147903c64
1550be295
hex36e4350

57557840 has 60 divisors (see below), whose sum is σ = 141306804. Its totient is φ = 21800448.

The previous prime is 57557839. The next prime is 57557873. The reversal of 57557840 is 4875575.

It can be written as a sum of positive squares in 2 ways, for example, as 31629376 + 25928464 = 5624^2 + 5092^2 .

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, 27884 + ... + 29876.

Almost surely, 257557840 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 57557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70653402).

57557840 is an abundant number, since it is smaller than the sum of its proper divisors (83748964).

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

57557840 is a wasteful number, since it uses less digits than its factorization.

57557840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 57557840 is about 7586.6883420897. The cubic root of 57557840 is about 386.1015062317.

The spelling of 57557840 in words is "fifty-seven million, five hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 1444 1520 1805 1993 2888 3610 3986 5776 7220 7972 9965 14440 15944 19930 28880 31888 37867 39860 75734 79720 151468 159440 189335 302936 378670 605872 719473 757340 1438946 1514680 2877892 3029360 3597365 5755784 7194730 11511568 14389460 28778920 57557840