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252827240 = 23510162581
BaseRepresentation
bin11110001000111…
…01011001101000
3122121201221202212
433010131121220
51004210432430
641030544252
76156665441
oct1704353150
9577657685
10252827240
1111a794936
1270808088
13404c2523
14258142c8
15172e1b95
hexf11d668

252827240 has 32 divisors (see below), whose sum is σ = 574502760. Its totient is φ = 100128000.

The previous prime is 252827231. The next prime is 252827257. The reversal of 252827240 is 42728252.

252827240 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 244171876 + 8655364 = 15626^2 + 2942^2 .

It is a super-2 number, since 2×2528272402 = 127843226572035200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252827197 and 252827206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27251 + ... + 35330.

Almost surely, 2252827240 is an apocalyptic number.

252827240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252827240 is an abundant number, since it is smaller than the sum of its proper divisors (321675520).

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

252827240 is a wasteful number, since it uses less digits than its factorization.

252827240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62693 (or 62689 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 252827240 is about 15900.5421291225. The cubic root of 252827240 is about 632.3263616430.

The spelling of 252827240 in words is "two hundred fifty-two million, eight hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 62581 125162 250324 312905 500648 625810 1251620 2503240 6320681 12641362 25282724 31603405 50565448 63206810 126413620 252827240