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242535144 = 23310105631
BaseRepresentation
bin11100111010011…
…00101011101000
3121220101001200010
432131030223220
5444042111034
640022211520
76003341355
oct1635145350
9556331603
10242535144
111149a5275
1269283ba0
133b32aa27
14242d562c
151645c3e9
hexe74cae8

242535144 has 16 divisors (see below), whose sum is σ = 606337920. Its totient is φ = 80845040.

The previous prime is 242535121. The next prime is 242535157. The reversal of 242535144 is 441535242.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5052792 + ... + 5052839.

It is an arithmetic number, because the mean of its divisors is an integer number (37896120).

Almost surely, 2242535144 is an apocalyptic number.

242535144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242535144 is an abundant number, since it is smaller than the sum of its proper divisors (363802776).

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

242535144 is a wasteful number, since it uses less digits than its factorization.

242535144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105640 (or 10105636 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 242535144 is about 15573.5398673519. The cubic root of 242535144 is about 623.6269754411.

The spelling of 242535144 in words is "two hundred forty-two million, five hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 10105631 20211262 30316893 40422524 60633786 80845048 121267572 242535144