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242551656 = 23323368773
BaseRepresentation
bin11100111010100…
…00101101101000
3121220101220022200
432131100231220
5444043123111
640022420200
76003440454
oct1635205550
9556356280
10242551656
11114a06716
1269291660
133b3353b9
14242db664
1516462256
hexe750b68

242551656 has 24 divisors (see below), whose sum is σ = 656910930. Its totient is φ = 80850528.

The previous prime is 242551633. The next prime is 242551693. The reversal of 242551656 is 656155242.

242551656 is a `hidden beast` number, since 2 + 42 + 551 + 65 + 6 = 666.

242551656 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 only one way, i.e., 205463556 + 37088100 = 14334^2 + 6090^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 242551656.

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, 1684315 + ... + 1684458.

Almost surely, 2242551656 is an apocalyptic number.

It is an amenable number.

242551656 is an abundant number, since it is smaller than the sum of its proper divisors (414359274).

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

242551656 is a wasteful number, since it uses less digits than its factorization.

242551656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368785 (or 3368778 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 242551656 is about 15574.0699882850. The cubic root of 242551656 is about 623.6411274726.

The spelling of 242551656 in words is "two hundred forty-two million, five hundred fifty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3368773 6737546 10106319 13475092 20212638 26950184 30318957 40425276 60637914 80850552 121275828 242551656