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57690594 = 232131012441
BaseRepresentation
bin1101110000010…
…0100111100010
311000112222121200
43130010213202
5104232044334
65420302030
71300235103
oct334044742
9130488550
1057690594
112a623885
12173a1916
13bc4ba60
14793a3aa
1550e8799
hex37049e2

57690594 has 48 divisors (see below), whose sum is σ = 135999864. Its totient is φ = 17568000.

The previous prime is 57690587. The next prime is 57690623. The reversal of 57690594 is 49509675.

It is a happy number.

57690594 is a `hidden beast` number, since 57 + 6 + 9 + 0 + 594 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42968025 + 14722569 = 6555^2 + 3837^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22414 + ... + 24854.

Almost surely, 257690594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57690594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67999932).

57690594 is an abundant number, since it is smaller than the sum of its proper divisors (78309270).

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

57690594 is a wasteful number, since it uses less digits than its factorization.

57690594 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 57690594 is about 7595.4324432517. The cubic root of 57690594 is about 386.3981189549.

The spelling of 57690594 in words is "fifty-seven million, six hundred ninety thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2441 2626 3939 4882 7323 7878 11817 14646 21969 23634 31733 43938 63466 95199 190398 246541 285597 493082 571194 739623 1479246 2218869 3205033 4437738 6410066 9615099 19230198 28845297 57690594