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57493120 = 27589833
BaseRepresentation
bin1101101101010…
…0011010000000
311000011221201211
43123110122000
5104204234440
65412135504
71265453266
oct333243200
9130157654
1057493120
112a4a9483
1217307594
13bbacbc9
1478c8436
1550a9eea
hex36d4680

57493120 has 32 divisors (see below), whose sum is σ = 137446020. Its totient is φ = 22996992.

The previous prime is 57493097. The next prime is 57493147. The reversal of 57493120 is 2139475.

It can be written as a sum of positive squares in 2 ways, for example, as 57395776 + 97344 = 7576^2 + 312^2 .

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, 44277 + ... + 45556.

Almost surely, 257493120 is an apocalyptic number.

It is an amenable number.

57493120 is an abundant number, since it is smaller than the sum of its proper divisors (79952900).

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

57493120 is an equidigital number, since it uses as much as digits as its factorization.

57493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89852 (or 89840 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 57493120 is about 7582.4217767149. The cubic root of 57493120 is about 385.9567367192.

The spelling of 57493120 in words is "fifty-seven million, four hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 89833 179666 359332 449165 718664 898330 1437328 1796660 2874656 3593320 5749312 7186640 11498624 14373280 28746560 57493120