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57132096 = 263742509
BaseRepresentation
bin1101100111110…
…0010001000000
310222111121111120
43121330101000
5104111211341
65400312240
71262420610
oct331742100
9128447446
1057132096
112a28220a
1217172680
13bab4798
147832a40
155038066
hex367c440

57132096 has 56 divisors (see below), whose sum is σ = 172760640. Its totient is φ = 16323072.

The previous prime is 57132083. The next prime is 57132109. The reversal of 57132096 is 69023175.

It is an interprime number because it is at equal distance from previous prime (57132083) and next prime (57132109).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19911 + ... + 22598.

Almost surely, 257132096 is an apocalyptic number.

57132096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57132096 is an abundant number, since it is smaller than the sum of its proper divisors (115628544).

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

57132096 is a wasteful number, since it uses less digits than its factorization.

57132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42531 (or 42521 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 57132096 is about 7558.5776439751. The cubic root of 57132096 is about 385.1471771029.

The spelling of 57132096 in words is "fifty-seven million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 42509 85018 127527 170036 255054 297563 340072 510108 595126 680144 892689 1020216 1190252 1360288 1785378 2040432 2380504 2720576 3570756 4080864 4761008 7141512 8161728 9522016 14283024 19044032 28566048 57132096