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242617764 = 223191318123
BaseRepresentation
bin11100111011000…
…00110110100100
3121220112021000010
432131200312210
5444102232024
640024050220
76004134264
oct1635406644
9556467003
10242617764
11114a51354
1269303970
133b35950c
14243177a4
1516476b29
hexe760da4

242617764 has 48 divisors (see below), whose sum is σ = 600526080. Its totient is φ = 76021920.

The previous prime is 242617757. The next prime is 242617789. The reversal of 242617764 is 467716242.

242617764 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 15 ways as a sum of consecutive naturals, for example, 25807 + ... + 33929.

It is an arithmetic number, because the mean of its divisors is an integer number (12510960).

Almost surely, 2242617764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242617764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300263040).

242617764 is an abundant number, since it is smaller than the sum of its proper divisors (357908316).

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

242617764 is a wasteful number, since it uses less digits than its factorization.

242617764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8278 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 242617764 is about 15576.1922176121. The cubic root of 242617764 is about 623.6977805904.

The spelling of 242617764 in words is "two hundred forty-two million, six hundred seventeen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 131 228 262 393 524 786 1572 2489 4978 7467 8123 9956 14934 16246 24369 29868 32492 48738 97476 154337 308674 463011 617348 926022 1064113 1852044 2128226 3192339 4256452 6384678 12769356 20218147 40436294 60654441 80872588 121308882 242617764