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242623908 = 22328537901
BaseRepresentation
bin11100111011000…
…10010110100100
3121220112120102200
432131202112210
5444102431113
640024134500
76004161222
oct1635422644
9556476380
10242623908
11114a55a2a
1269307430
133b35c257
1424319b12
1516478873
hexe7625a4

242623908 has 36 divisors (see below), whose sum is σ = 614096028. Its totient is φ = 80769600.

The previous prime is 242623907. The next prime is 242623933. The reversal of 242623908 is 809326242.

242623908 is a `hidden beast` number, since 2 + 4 + 262 + 390 + 8 = 666.

242623908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79602084 + 163021824 = 8922^2 + 12768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (242623907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26758 + ... + 34658.

It is an arithmetic number, because the mean of its divisors is an integer number (17058223).

Almost surely, 2242623908 is an apocalyptic number.

It is an amenable number.

242623908 is an abundant number, since it is smaller than the sum of its proper divisors (371472120).

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

242623908 is a wasteful number, since it uses less digits than its factorization.

242623908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 242623908 is about 15576.3894404320. The cubic root of 242623908 is about 623.7030453421.

The spelling of 242623908 in words is "two hundred forty-two million, six hundred twenty-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 853 1706 2559 3412 5118 7677 7901 10236 15354 15802 23703 30708 31604 47406 71109 94812 142218 284436 6739553 13479106 20218659 26958212 40437318 60655977 80874636 121311954 242623908