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242624260 = 225731371213
BaseRepresentation
bin11100111011000…
…10011100000100
3121220112120220201
432131202130010
5444102434020
640024140244
76004162234
oct1635423404
9556476821
10242624260
11114a5621a
1269307684
133b35c468
1424319cc4
1516478a0a
hexe762704

242624260 has 48 divisors (see below), whose sum is σ = 520689456. Its totient is φ = 94943232.

The previous prime is 242624251. The next prime is 242624311. The reversal of 242624260 is 62426242.

It can be written as a sum of positive squares in 8 ways, for example, as 19061956 + 223562304 = 4366^2 + 14952^2 .

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 15 ways as a sum of consecutive naturals, for example, 199414 + ... + 200626.

It is an arithmetic number, because the mean of its divisors is an integer number (10847697).

Almost surely, 2242624260 is an apocalyptic number.

242624260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242624260 is an abundant number, since it is smaller than the sum of its proper divisors (278065196).

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

242624260 is a wasteful number, since it uses less digits than its factorization.

242624260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 242624260 is about 15576.4007395804. The cubic root of 242624260 is about 623.7033469658.

The spelling of 242624260 in words is "two hundred forty-two million, six hundred twenty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1213 1370 1460 2426 2740 4852 6065 10001 12130 20002 24260 40004 50005 88549 100010 166181 177098 200020 332362 354196 442745 664724 830905 885490 1661810 1770980 3323620 12131213 24262426 48524852 60656065 121312130 242624260