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57147200 = 26521117191
BaseRepresentation
bin1101100111111…
…1111101000000
310222112101012222
43121333331000
5104112202300
65400510212
71262512625
oct331777500
9128471188
1057147200
112a2925a0
121717b368
13babb616
14783834c
15503c785
hex367ff40

57147200 has 168 divisors, whose sum is σ = 163275264. Its totient is φ = 19456000.

The previous prime is 57147199. The next prime is 57147239. The reversal of 57147200 is 274175.

It is a self number, because there is not a number n which added to its sum of digits gives 57147200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299105 + ... + 299295.

Almost surely, 257147200 is an apocalyptic number.

57147200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81637632).

57147200 is an abundant number, since it is smaller than the sum of its proper divisors (106128064).

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

57147200 is a wasteful number, since it uses less digits than its factorization.

57147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 57147200 is about 7559.5767077264. The cubic root of 57147200 is about 385.1811145380.

The spelling of 57147200 in words is "fifty-seven million, one hundred forty-seven thousand, two hundred".