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57272544 = 2532728409
BaseRepresentation
bin1101101001111…
…0100011100000
310222202202011100
43122132203200
5104130210134
65403314400
71263544230
oct332364340
9128682140
1057272544
112a36878a
121721ba00
13bb336a4
14786bcc0
155064999
hex369e8e0

57272544 has 72 divisors (see below), whose sum is σ = 186142320. Its totient is φ = 16363008.

The previous prime is 57272543. The next prime is 57272549. The reversal of 57272544 is 44527275.

It is a happy number.

57272544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 57272499 and 57272508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57272543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12189 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (2585310).

Almost surely, 257272544 is an apocalyptic number.

It is an amenable number.

57272544 is an abundant number, since it is smaller than the sum of its proper divisors (128869776).

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

57272544 is a wasteful number, since it uses less digits than its factorization.

57272544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28432 (or 28421 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 57272544 is about 7567.8625780335. The cubic root of 57272544 is about 385.4625216533.

The spelling of 57272544 in words is "fifty-seven million, two hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 28409 56818 85227 113636 170454 198863 227272 255681 340908 397726 454544 511362 596589 681816 795452 909088 1022724 1193178 1363632 1590904 1789767 2045448 2386356 2727264 3181808 3579534 4090896 4772712 6363616 7159068 8181792 9545424 14318136 19090848 28636272 57272544