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57479640 = 2335601797
BaseRepresentation
bin1101101101000…
…1000111011000
311000011021020120
43123101013120
5104203322030
65411553240
71265366061
oct333210730
9130137216
1057479640
112a49a339
12172bb820
13bba6a2a
1478c3568
1550a6010
hex36d11d8

57479640 has 64 divisors (see below), whose sum is σ = 172942560. Its totient is φ = 15283200.

The previous prime is 57479623. The next prime is 57479641. The reversal of 57479640 is 4697475.

57479640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57479592 and 57479601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57479641) 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 15 ways as a sum of consecutive naturals, for example, 71722 + ... + 72518.

Almost surely, 257479640 is an apocalyptic number.

It is an amenable number.

57479640 is an abundant number, since it is smaller than the sum of its proper divisors (115462920).

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

57479640 is a wasteful number, since it uses less digits than its factorization.

57479640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 57479640 is about 7581.5328265464. The cubic root of 57479640 is about 385.9265701910.

The spelling of 57479640 in words is "fifty-seven million, four hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 601 797 1202 1594 1803 2391 2404 3005 3188 3606 3985 4782 4808 6010 6376 7212 7970 9015 9564 11955 12020 14424 15940 18030 19128 23910 24040 31880 36060 47820 72120 95640 478997 957994 1436991 1915988 2394985 2873982 3831976 4789970 5747964 7184955 9579940 11495928 14369910 19159880 28739820 57479640