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242397864 = 233222714831
BaseRepresentation
bin11100111001010…
…11001010101000
3121220010002100200
432130223022220
5444023212424
640015232200
76002230212
oct1634531250
9556102320
10242397864
11114911115
1269218660
133b2b03b7
142429b5b2
15164318c9
hexe72b2a8

242397864 has 48 divisors (see below), whose sum is σ = 659430720. Its totient is φ = 80437920.

The previous prime is 242397853. The next prime is 242397899. The reversal of 242397864 is 468793242.

242397864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8929 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (13738140).

Almost surely, 2242397864 is an apocalyptic number.

242397864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242397864 is an abundant number, since it is smaller than the sum of its proper divisors (417032856).

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

242397864 is a wasteful number, since it uses less digits than its factorization.

242397864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15070 (or 15063 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 242397864 is about 15569.1317676998. The cubic root of 242397864 is about 623.5092912333.

The spelling of 242397864 in words is "two hundred forty-two million, three hundred ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 908 1362 1816 2043 2724 4086 5448 8172 14831 16344 29662 44493 59324 88986 118648 133479 177972 266958 355944 533916 1067832 3366637 6733274 10099911 13466548 20199822 26933096 30299733 40399644 60599466 80799288 121198932 242397864