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242915256 = 233231432531
BaseRepresentation
bin11100111101010…
…01011110111000
3121221002101002100
432132221132320
5444141242011
640034303400
76006513513
oct1636513670
9557071070
10242915256
11115134911
1269427b60
133b431a4c
1424393d7a
15164d4d56
hexe7a97b8

242915256 has 96 divisors (see below), whose sum is σ = 695185920. Its totient is φ = 76507200.

The previous prime is 242915251. The next prime is 242915291. The reversal of 242915256 is 652519242.

242915256 is a `hidden beast` number, since 2 + 42 + 91 + 525 + 6 = 666.

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 242915256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242915251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94711 + ... + 97241.

It is an arithmetic number, because the mean of its divisors is an integer number (7241520).

Almost surely, 2242915256 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 242915256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347592960).

242915256 is an abundant number, since it is smaller than the sum of its proper divisors (452270664).

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

242915256 is a wasteful number, since it uses less digits than its factorization.

242915256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2610 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 242915256 is about 15585.7388660275. The cubic root of 242915256 is about 623.9525974839.

The spelling of 242915256 in words is "two hundred forty-two million, nine hundred fifteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 43 62 72 86 93 124 129 172 186 248 258 279 344 372 387 516 558 744 774 1032 1116 1333 1548 2232 2531 2666 3096 3999 5062 5332 7593 7998 10124 10664 11997 15186 15996 20248 22779 23994 30372 31992 45558 47988 60744 78461 91116 95976 108833 156922 182232 217666 235383 313844 326499 435332 470766 627688 652998 706149 870664 941532 979497 1305996 1412298 1883064 1958994 2611992 2824596 3373823 3917988 5649192 6747646 7835976 10121469 13495292 20242938 26990584 30364407 40485876 60728814 80971752 121457628 242915256