Search a number
-
+
242685864 = 23323370637
BaseRepresentation
bin11100111011100…
…01011110101000
3121220122201102100
432131301132220
5444111421424
640025333400
76004536651
oct1635613650
9556581370
10242685864
11114a98533
1269337260
133b381505
1424334528
151648bdc9
hexe7717a8

242685864 has 24 divisors (see below), whose sum is σ = 657274410. Its totient is φ = 80895264.

The previous prime is 242685853. The next prime is 242685889. The reversal of 242685864 is 468586242.

242685864 is a `hidden beast` number, since 2 + 4 + 2 + 68 + 586 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240560100 + 2125764 = 15510^2 + 1458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1685247 + ... + 1685390.

Almost surely, 2242685864 is an apocalyptic number.

242685864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242685864 is an abundant number, since it is smaller than the sum of its proper divisors (414588546).

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

242685864 is a wasteful number, since it uses less digits than its factorization.

242685864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370649 (or 3370642 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 242685864 is about 15578.3780927284. The cubic root of 242685864 is about 623.7561300490.

The spelling of 242685864 in words is "two hundred forty-two million, six hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3370637 6741274 10111911 13482548 20223822 26965096 30335733 40447644 60671466 80895288 121342932 242685864