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242253256 = 23724115073
BaseRepresentation
bin11100111000001…
…11110111001000
3121212211201222211
432130013313020
5444004101011
640012154504
76001055500
oct1634076710
9555751884
10242253256
11114822503
1269168a34
133b25c62b
1424260a00
1516403b21
hexe707dc8

242253256 has 48 divisors (see below), whose sum is σ = 541307340. Its totient is φ = 101283840.

The previous prime is 242253239. The next prime is 242253257. The reversal of 242253256 is 652352242.

It can be written as a sum of positive squares in 2 ways, for example, as 222308100 + 19945156 = 14910^2 + 4466^2 .

It is not an unprimeable number, because it can be changed into a prime (242253257) 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, 8536 + ... + 23608.

Almost surely, 2242253256 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 242253256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270653670).

242253256 is an abundant number, since it is smaller than the sum of its proper divisors (299054084).

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

242253256 is a wasteful number, since it uses less digits than its factorization.

242253256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134 (or 15123 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 242253256 is about 15564.4870137117. The cubic root of 242253256 is about 623.3852769840.

The spelling of 242253256 in words is "two hundred forty-two million, two hundred fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 15073 16072 30146 60292 105511 120584 211022 422044 617993 738577 844088 1235986 1477154 2471972 2954308 4325951 4943944 5908616 8651902 17303804 30281657 34607608 60563314 121126628 242253256