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57418680 = 23351143499
BaseRepresentation
bin1101101100001…
…0001110111000
311000001011121210
43123002032320
5104144344210
65410403120
71265023254
oct333021670
9130034553
1057418680
112a458560
12172904a0
13bb85067
1478a9264
155092e20
hex36c23b8

57418680 has 64 divisors (see below), whose sum is σ = 187920000. Its totient is φ = 13919360.

The previous prime is 57418679. The next prime is 57418687. The reversal of 57418680 is 8681475.

57418680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57418687) 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, 20430 + ... + 23069.

It is an arithmetic number, because the mean of its divisors is an integer number (2936250).

Almost surely, 257418680 is an apocalyptic number.

It is an amenable number.

57418680 is an abundant number, since it is smaller than the sum of its proper divisors (130501320).

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

57418680 is a wasteful number, since it uses less digits than its factorization.

57418680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43524 (or 43520 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 57418680 is about 7577.5114648544. The cubic root of 57418680 is about 385.7900905292.

The spelling of 57418680 in words is "fifty-seven million, four hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 43499 86998 130497 173996 217495 260994 347992 434990 478489 521988 652485 869980 956978 1043976 1304970 1435467 1739960 1913956 2392445 2609940 2870934 3827912 4784890 5219880 5741868 7177335 9569780 11483736 14354670 19139560 28709340 57418680