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57842064 = 2432757383
BaseRepresentation
bin1101110010100…
…1100110010000
311000211200101200
43130221212100
5104301421224
65423431200
71301435520
oct334514620
9130750350
1057842064
112a717665
1217455500
13bca2997
147979680
1551285c9
hex3729990

57842064 has 60 divisors (see below), whose sum is σ = 185006016. Its totient is φ = 16526016.

The previous prime is 57842053. The next prime is 57842077. The reversal of 57842064 is 46024875.

57842064 is a `hidden beast` number, since 578 + 4 + 20 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27684 + ... + 29699.

Almost surely, 257842064 is an apocalyptic number.

It is an amenable number.

57842064 is an abundant number, since it is smaller than the sum of its proper divisors (127163952).

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

57842064 is a wasteful number, since it uses less digits than its factorization.

57842064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57404 (or 57395 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57842064 is about 7605.3970310563. The cubic root of 57842064 is about 386.7359936468.

The spelling of 57842064 in words is "fifty-seven million, eight hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 57383 114766 172149 229532 344298 401681 459064 516447 688596 803362 918128 1032894 1205043 1377192 1606724 2065788 2410086 2754384 3213448 3615129 4131576 4820172 6426896 7230258 8263152 9640344 14460516 19280688 28921032 57842064