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57760016 = 2417212353
BaseRepresentation
bin1101110001010…
…1100100010000
311000200111211212
43130111210100
5104241310031
65421555252
71300644356
oct334254420
9130614755
1057760016
112a670a56
1217415b28
13bc74532
1479577d6
15510e12b
hex3715910

57760016 has 20 divisors (see below), whose sum is σ = 118493532. Its totient is φ = 27181056.

The previous prime is 57760007. The next prime is 57760049. The reversal of 57760016 is 61006775.

It can be written as a sum of positive squares in 2 ways, for example, as 44943616 + 12816400 = 6704^2 + 3580^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105905 + ... + 106448.

Almost surely, 257760016 is an apocalyptic number.

It is an amenable number.

57760016 is an abundant number, since it is smaller than the sum of its proper divisors (60733516).

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

57760016 is a wasteful number, since it uses less digits than its factorization.

57760016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212378 (or 212372 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 57760016 is about 7600.0010526315. The cubic root of 57760016 is about 386.5530476054.

It can be divided in two parts, 577600 and 16, that multiplied together give a square (9241600 = 30402).

The spelling of 57760016 in words is "fifty-seven million, seven hundred sixty thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 212353 424706 849412 1698824 3397648 3610001 7220002 14440004 28880008 57760016