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242535440 = 2457433099
BaseRepresentation
bin11100111010011…
…00110000010000
3121220101002002002
432131030300100
5444042113230
640022213132
76003342260
oct1635146020
9556332062
10242535440
111149a5514
12692841a8
133b32abc4
14242d57a0
151645c545
hexe74cc10

242535440 has 40 divisors (see below), whose sum is σ = 644452800. Its totient is φ = 83154816.

The previous prime is 242535431. The next prime is 242535467. The reversal of 242535440 is 44535242.

It is a tau number, because it is divible by the number of its divisors (40).

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, 215990 + ... + 217109.

It is an arithmetic number, because the mean of its divisors is an integer number (16111320).

Almost surely, 2242535440 is an apocalyptic number.

242535440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242535440 is an abundant number, since it is smaller than the sum of its proper divisors (401917360).

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

242535440 is a wasteful number, since it uses less digits than its factorization.

242535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433119 (or 433113 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 242535440 is about 15573.5493706477. The cubic root of 242535440 is about 623.6272291412.

The spelling of 242535440 in words is "two hundred forty-two million, five hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 433099 866198 1732396 2165495 3031693 3464792 4330990 6063386 6929584 8661980 12126772 15158465 17323960 24253544 30316930 34647920 48507088 60633860 121267720 242535440