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57149028 = 22321587473
BaseRepresentation
bin1101101000000…
…0011001100100
310222112110201200
43122000121210
5104112232103
65400522500
71262521146
oct332003144
9128473650
1057149028
112a293a02
1217180430
13babc3c1
147838c96
15503d0a3
hex3680664

57149028 has 18 divisors (see below), whose sum is σ = 144460134. Its totient is φ = 19049664.

The previous prime is 57149023. The next prime is 57149033. The reversal of 57149028 is 82094175.

57149028 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57149023) and next prime (57149033).

It can be written as a sum of positive squares in only one way, i.e., 47858724 + 9290304 = 6918^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×571490282 = 6532022802689568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1587473 = 57149028 / (5 + 7 + 1 + 4 + 9 + 0 + 2 + 8).

57149028 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 57148983 and 57149001.

It is not an unprimeable number, because it can be changed into a prime (57149023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 793701 + ... + 793772.

It is an arithmetic number, because the mean of its divisors is an integer number (8025563).

Almost surely, 257149028 is an apocalyptic number.

It is an amenable number.

57149028 is an abundant number, since it is smaller than the sum of its proper divisors (87311106).

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

57149028 is a wasteful number, since it uses less digits than its factorization.

57149028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587483 (or 1587478 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57149028 is about 7559.6976130001. The cubic root of 57149028 is about 385.1852214967.

The spelling of 57149028 in words is "fifty-seven million, one hundred forty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1587473 3174946 4762419 6349892 9524838 14287257 19049676 28574514 57149028