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57850272 = 2532200869
BaseRepresentation
bin1101110010101…
…1100110100000
311000212002122200
43130223212200
5104302202042
65423533200
71301501454
oct334534640
9130762580
1057850272
112a722847
121745a200
13bca663c
14797c664
15512ac4c
hex372b9a0

57850272 has 36 divisors (see below), whose sum is σ = 164512530. Its totient is φ = 19283328.

The previous prime is 57850249. The next prime is 57850283. The reversal of 57850272 is 27205875.

57850272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 16941456 = 6396^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100147 + ... + 100722.

Almost surely, 257850272 is an apocalyptic number.

It is an amenable number.

57850272 is an abundant number, since it is smaller than the sum of its proper divisors (106662258).

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

57850272 is a wasteful number, since it uses less digits than its factorization.

57850272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200885 (or 200874 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57850272 is about 7605.9366287131. The cubic root of 57850272 is about 386.7542858646.

The spelling of 57850272 in words is "fifty-seven million, eight hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 200869 401738 602607 803476 1205214 1606952 1807821 2410428 3213904 3615642 4820856 6427808 7231284 9641712 14462568 19283424 28925136 57850272