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57154272 = 2537175003
BaseRepresentation
bin1101101000000…
…1101011100000
310222112201220220
43122001223200
5104112414042
65401003040
71262542350
oct332015340
9128481826
1057154272
112a29793a
1217183480
13bac18c6
14783ab60
15503e8ec
hex3681ae0

57154272 has 96 divisors (see below), whose sum is σ = 181585152. Its totient is φ = 15366144.

The previous prime is 57154249. The next prime is 57154277. The reversal of 57154272 is 27245175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×571542722 = 6533221615699968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57154277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8923 + ... + 13925.

It is an arithmetic number, because the mean of its divisors is an integer number (1891512).

Almost surely, 257154272 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 57154272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90792576).

57154272 is an abundant number, since it is smaller than the sum of its proper divisors (124430880).

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

57154272 is a wasteful number, since it uses less digits than its factorization.

57154272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5032 counting only the distinct ones).

The product of its digits is 19600, while the sum is 33.

The square root of 57154272 is about 7560.0444443138. The cubic root of 57154272 is about 385.1970026800.

The spelling of 57154272 in words is "fifty-seven million, one hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5003 5712 10006 11424 15009 20012 30018 35021 40024 60036 70042 80048 85051 105063 120072 140084 160096 170102 210126 240144 255153 280168 340204 420252 480288 510306 560336 595357 680408 840504 1020612 1120672 1190714 1360816 1681008 1786071 2041224 2381428 2721632 3362016 3572142 4082448 4762856 7144284 8164896 9525712 14288568 19051424 28577136 57154272