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242487762 = 231117212713
BaseRepresentation
bin11100111010000…
…01000111010010
3121220021122200020
432131001013102
5444034102022
640021204310
76003053256
oct1635010722
9556248606
10242487762
11114972710
1269260696
133b3122aa
14242c2266
151644d35c
hexe7411d2

242487762 has 48 divisors (see below), whose sum is σ = 562060512. Its totient is φ = 69153280.

The previous prime is 242487761. The next prime is 242487767. The reversal of 242487762 is 267784242.

It is not an unprimeable number, because it can be changed into a prime (242487761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12718 + ... + 25430.

It is an arithmetic number, because the mean of its divisors is an integer number (11709594).

Almost surely, 2242487762 is an apocalyptic number.

242487762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242487762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281030256).

242487762 is an abundant number, since it is smaller than the sum of its proper divisors (319572750).

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

242487762 is a wasteful number, since it uses less digits than its factorization.

242487762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12746 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 242487762 is about 15572.0185589409. The cubic root of 242487762 is about 623.5863619211.

The spelling of 242487762 in words is "two hundred forty-two million, four hundred eighty-seven thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 561 578 867 1122 1734 3179 6358 9537 12713 19074 25426 38139 76278 139843 216121 279686 419529 432242 648363 839058 1296726 2377331 3674057 4754662 7131993 7348114 11022171 14263986 22044342 40414627 80829254 121243881 242487762