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57588000625 = 542923312
BaseRepresentation
bin110101101000100000…
…110010011101110001
312111122101222112122001
4311220200302131301
51420420012010000
642242222414001
74106040633361
oct655040623561
9174571875561
1057588000625
1122471a1a251
12b1b2131301
135579b2c91c
142b043cc9a1
151770b0b46a
hexd68832771

57588000625 has 45 divisors (see below), whose sum is σ = 74754823143. Its totient is φ = 44347380000.

The previous prime is 57588000577. The next prime is 57588000641. The reversal of 57588000625 is 52600088575.

The square root of 57588000625 is 239975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 43071606369 + 14516394256 = 207537^2 + 120484^2 .

It is not a de Polignac number, because 57588000625 - 213 = 57587992433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 173981710 + ... + 173982040.

Almost surely, 257588000625 is an apocalyptic number.

57588000625 is the 239975-th square number.

57588000625 is the 119988-th centered octagonal number.

It is an amenable number.

57588000625 is a deficient number, since it is larger than the sum of its proper divisors (17166822518).

57588000625 is an frugal number, since it uses more digits than its factorization.

57588000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 57588000625 in words is "fifty-seven billion, five hundred eighty-eight million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 29 125 145 331 625 725 841 1655 3625 4205 8275 9599 18125 21025 41375 47995 105125 109561 206875 239975 278371 525625 547805 1199875 1391855 2739025 3177269 5999375 6959275 13695125 15886345 34796375 68475625 79431725 92140801 173981875 397158625 460704005 1985793125 2303520025 11517600125 57588000625