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57142272 = 2103111989
BaseRepresentation
bin1101100111111…
…0110000000000
310222112010110110
43121332300000
5104112023042
65400431320
71262462355
oct331766000
9128463413
1057142272
112a289920
1217178540
13bab92c5
14783662c
15503b09c
hex367ec00

57142272 has 176 divisors, whose sum is σ = 176860800. Its totient is φ = 16220160.

The previous prime is 57142231. The next prime is 57142279. The reversal of 57142272 is 27224175.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (57142279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642004 + ... + 642092.

Almost surely, 257142272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88430400).

57142272 is an abundant number, since it is smaller than the sum of its proper divisors (119718528).

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

57142272 is a wasteful number, since it uses less digits than its factorization.

57142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 57142272 is about 7559.2507565234. The cubic root of 57142272 is about 385.1700423881.

The spelling of 57142272 in words is "fifty-seven million, one hundred forty-two thousand, two hundred seventy-two".