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57283920 = 2432579561
BaseRepresentation
bin1101101010000…
…1010101010000
310222210022202200
43122201111100
5104131041140
65403443200
71263622341
oct332412520
9128708680
1057283920
112a376291
1217226500
13bb38915
1478720c8
155068030
hex36a1550

57283920 has 60 divisors (see below), whose sum is σ = 192380916. Its totient is φ = 15275520.

The previous prime is 57283913. The next prime is 57283921. The reversal of 57283920 is 2938275.

It is a happy number.

57283920 is a `hidden beast` number, since 572 + 83 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14197824 + 43086096 = 3768^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57283921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39061 + ... + 40500.

Almost surely, 257283920 is an apocalyptic number.

It is an amenable number.

57283920 is an abundant number, since it is smaller than the sum of its proper divisors (135096996).

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

57283920 is a wasteful number, since it uses less digits than its factorization.

57283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79580 (or 79571 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57283920 is about 7568.6141399863. The cubic root of 57283920 is about 385.4880413354.

The spelling of 57283920 in words is "fifty-seven million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 79561 159122 238683 318244 397805 477366 636488 716049 795610 954732 1193415 1272976 1432098 1591220 1909464 2386830 2864196 3182440 3580245 3818928 4773660 5728392 6364880 7160490 9547320 11456784 14320980 19094640 28641960 57283920