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242625824 = 2571083151
BaseRepresentation
bin11100111011000…
…10110100100000
3121220112200001122
432131202310200
5444103011244
640024151412
76004166630
oct1635426440
9556480048
10242625824
11114a57411
1269308568
133b36009c
142431a6c0
15164791ee
hexe762d20

242625824 has 24 divisors (see below), whose sum is σ = 545908608. Its totient is φ = 103982400.

The previous prime is 242625811. The next prime is 242625841. The reversal of 242625824 is 428526242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541352 + ... + 541799.

It is an arithmetic number, because the mean of its divisors is an integer number (22746192).

Almost surely, 2242625824 is an apocalyptic number.

It is an amenable number.

242625824 is an abundant number, since it is smaller than the sum of its proper divisors (303282784).

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

242625824 is a wasteful number, since it uses less digits than its factorization.

242625824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083168 (or 1083160 counting only the distinct ones).

The product of its digits is 61440, while the sum is 35.

The square root of 242625824 is about 15576.4509436521. The cubic root of 242625824 is about 623.7046871312.

The spelling of 242625824 in words is "two hundred forty-two million, six hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1083151 2166302 4332604 7582057 8665208 15164114 17330416 30328228 34660832 60656456 121312912 242625824