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57378432 = 273149423
BaseRepresentation
bin1101101011100…
…0011010000000
310222222010102010
43122320122000
5104142102212
65405452520
71264465026
oct332703200
9128863363
1057378432
112a4302a1
1217271140
13bb6c947
147898716
15508603c
hex36b8680

57378432 has 32 divisors (see below), whose sum is σ = 152412480. Its totient is φ = 19126016.

The previous prime is 57378413. The next prime is 57378449. The reversal of 57378432 is 23487375.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 74328 + ... + 75095.

It is an arithmetic number, because the mean of its divisors is an integer number (4762890).

Almost surely, 257378432 is an apocalyptic number.

It is an amenable number.

57378432 is an abundant number, since it is smaller than the sum of its proper divisors (95034048).

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

57378432 is a wasteful number, since it uses less digits than its factorization.

57378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149440 (or 149428 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 57378432 is about 7574.8552461417. The cubic root of 57378432 is about 385.6999287621.

The spelling of 57378432 in words is "fifty-seven million, three hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 149423 298846 448269 597692 896538 1195384 1793076 2390768 3586152 4781536 7172304 9563072 14344608 19126144 28689216 57378432