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57200988 = 223131721569
BaseRepresentation
bin1101101000110…
…1000101011100
310222122010000010
43122031011130
5104120412423
65402003220
71263125505
oct332150534
9128563003
1057200988
112a319a49
12171a6510
13bb09c50
14784dbac
15504d693
hex368d15c

57200988 has 48 divisors (see below), whose sum is σ = 152197920. Its totient is φ = 16564224.

The previous prime is 57200959. The next prime is 57200989. The reversal of 57200988 is 88900275.

57200988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×572009882 = 6543906056352288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57200989) 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 15 ways as a sum of consecutive naturals, for example, 8133 + ... + 13436.

It is an arithmetic number, because the mean of its divisors is an integer number (3170790).

Almost surely, 257200988 is an apocalyptic number.

It is an amenable number.

57200988 is an abundant number, since it is smaller than the sum of its proper divisors (94996932).

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

57200988 is a wasteful number, since it uses less digits than its factorization.

57200988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21606 (or 21604 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 57200988 is about 7563.1334776004. The cubic root of 57200988 is about 385.3019231696.

The spelling of 57200988 in words is "fifty-seven million, two hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 21569 43138 64707 86276 129414 258828 280397 366673 560794 733346 841191 1100019 1121588 1466692 1682382 2200038 3364764 4400076 4766749 9533498 14300247 19066996 28600494 57200988