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57304900 = 22527572
BaseRepresentation
bin1101101010011…
…0011101000100
310222211101112201
43122212131010
5104132224100
65404124244
71264040452
oct332463504
9128741481
1057304900
112a390024
1217236684
13bb45333
1478799d2
15506e36a
hex36a6744

57304900 has 27 divisors (see below), whose sum is σ = 124516119. Its totient is φ = 22891680.

The previous prime is 57304889. The next prime is 57304963. The reversal of 57304900 is 940375.

The square root of 57304900 is 7570.

It is a perfect power (a square), and thus also a powerful number.

57304900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 57274624 = 174^2 + 7568^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 75322 + ... + 76078.

Almost surely, 257304900 is an apocalyptic number.

57304900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57304900 is the 7570-th square number.

It is an amenable number.

57304900 is an abundant number, since it is smaller than the sum of its proper divisors (67211219).

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

57304900 is an equidigital number, since it uses as much as digits as its factorization.

57304900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The cubic root of 57304900 is about 385.5350967276.

The spelling of 57304900 in words is "fifty-seven million, three hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 757 1514 3028 3785 7570 15140 18925 37850 75700 573049 1146098 2292196 2865245 5730490 11460980 14326225 28652450 57304900