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57694960 = 245838689
BaseRepresentation
bin1101110000010…
…1101011110000
311000120012121101
43130011223300
5104232214320
65420334144
71300253611
oct334055360
9130505541
1057694960
112a627094
12173a4354
13bc50a3b
14793bc08
1550e9c0a
hex3705af0

57694960 has 40 divisors (see below), whose sum is σ = 135772560. Its totient is φ = 22797312.

The previous prime is 57694943. The next prime is 57694961. The reversal of 57694960 is 6949675.

57694960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 57694960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57694961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 10984.

It is an arithmetic number, because the mean of its divisors is an integer number (3394314).

Almost surely, 257694960 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 57694960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886280).

57694960 is an abundant number, since it is smaller than the sum of its proper divisors (78077600).

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

57694960 is a wasteful number, since it uses less digits than its factorization.

57694960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 57694960 is about 7595.7198473877. The cubic root of 57694960 is about 386.4078661916.

The spelling of 57694960 in words is "fifty-seven million, six hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 8689 17378 34756 43445 69512 86890 139024 173780 347560 695120 721187 1442374 2884748 3605935 5769496 7211870 11538992 14423740 28847480 57694960