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242427536 = 24131961343
BaseRepresentation
bin11100111001100…
…10011010010000
3121220011121001122
432130302122100
5444030140121
640020021412
76002412551
oct1634623220
9556147048
10242427536
1111493143a
1269231868
133b2c0a60
14242a8328
151643a5ab
hexe732690

242427536 has 40 divisors (see below), whose sum is σ = 532465920. Its totient is φ = 105998976.

The previous prime is 242427527. The next prime is 242427553. The reversal of 242427536 is 635724242.

It is a super-2 number, since 2×2424275362 = 117542220422062592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242427496 and 242427505.

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 7 ways as a sum of consecutive naturals, for example, 26720 + ... + 34623.

It is an arithmetic number, because the mean of its divisors is an integer number (13311648).

Almost surely, 2242427536 is an apocalyptic number.

242427536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

242427536 is an abundant number, since it is smaller than the sum of its proper divisors (290038384).

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

242427536 is a wasteful number, since it uses less digits than its factorization.

242427536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61383 (or 61377 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 242427536 is about 15570.0846497378. The cubic root of 242427536 is about 623.5347315191.

The spelling of 242427536 in words is "two hundred forty-two million, four hundred twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 61343 122686 245372 490744 797459 981488 1165517 1594918 2331034 3189836 4662068 6379672 9324136 12759344 15151721 18648272 30303442 60606884 121213768 242427536