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57272000 = 26537159
BaseRepresentation
bin1101101001111…
…0011011000000
310222202201102012
43122132123000
5104130201000
65403312052
71263542522
oct332363300
9128681365
1057272000
112a368335
121721b628
13bb33376
14786ba12
155064735
hex369e6c0

57272000 has 56 divisors (see below), whose sum is σ = 141853920. Its totient is φ = 22905600.

The previous prime is 57271969. The next prime is 57272029. The reversal of 57272000 is 27275.

57272000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4421 + ... + 11579.

Almost surely, 257272000 is an apocalyptic number.

57272000 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 57272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70926960).

57272000 is an abundant number, since it is smaller than the sum of its proper divisors (84581920).

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

57272000 is an equidigital number, since it uses as much as digits as its factorization.

57272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 57272000 is about 7567.8266364921. The cubic root of 57272000 is about 385.4613012182.

Adding to 57272000 its reverse (27275), we get a palindrome (57299275).

The spelling of 57272000 in words is "fifty-seven million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 7159 8000 14318 28636 35795 57272 71590 114544 143180 178975 229088 286360 357950 458176 572720 715900 894875 1145440 1431800 1789750 2290880 2863600 3579500 5727200 7159000 11454400 14318000 28636000 57272000