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242569056 = 25317148633
BaseRepresentation
bin11100111010101…
…00111101100000
3121220102210012010
432131110331200
5444044202211
640023032520
76003542262
oct1635247540
9556383163
10242569056
11114a187a4
126929b740
133b3402b2
1424303b32
15164674a6
hexe754f60

242569056 has 48 divisors (see below), whose sum is σ = 674203824. Its totient is φ = 76099584.

The previous prime is 242569051. The next prime is 242569057. The reversal of 242569056 is 650965242.

242569056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2425690562 = 117679493857462272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242569051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72685 + ... + 75948.

It is an arithmetic number, because the mean of its divisors is an integer number (14045913).

Almost surely, 2242569056 is an apocalyptic number.

It is an amenable number.

242569056 is an abundant number, since it is smaller than the sum of its proper divisors (431634768).

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

242569056 is a wasteful number, since it uses less digits than its factorization.

242569056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148663 (or 148655 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 242569056 is about 15574.6285991031. The cubic root of 242569056 is about 623.6560398921.

The spelling of 242569056 in words is "two hundred forty-two million, five hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 148633 297266 445899 594532 891798 1189064 1783596 2378128 2526761 3567192 4756256 5053522 7134384 7580283 10107044 14268768 15160566 20214088 30321132 40428176 60642264 80856352 121284528 242569056