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242574264 = 2335124781
BaseRepresentation
bin11100111010101…
…10001110111000
3121220110001100000
432131112032320
5444044334024
640023113000
76003563412
oct1635261670
9556401300
10242574264
11114a216a9
12692a2760
133b34278a
14243059b2
1516468cc9
hexe7563b8

242574264 has 48 divisors (see below), whose sum is σ = 681309720. Its totient is φ = 80857440.

The previous prime is 242574259. The next prime is 242574281. The reversal of 242574264 is 462475242.

242574264 is a `hidden beast` number, since 24 + 2 + 574 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 60447 + ... + 64334.

Almost surely, 2242574264 is an apocalyptic number.

242574264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242574264 is an abundant number, since it is smaller than the sum of its proper divisors (438735456).

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

242574264 is a wasteful number, since it uses less digits than its factorization.

242574264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124802 (or 124786 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 242574264 is about 15574.7957932038. The cubic root of 242574264 is about 623.6605031949.

The spelling of 242574264 in words is "two hundred forty-two million, five hundred seventy-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 124781 249562 374343 499124 748686 998248 1123029 1497372 2246058 2994744 3369087 4492116 6738174 8984232 10107261 13476348 20214522 26952696 30321783 40429044 60643566 80858088 121287132 242574264