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87242568 = 2337519301
BaseRepresentation
bin1010011001100…
…11011101001000
320002011101022020
411030303131020
5134313230233
612353524440
72106356340
oct514633510
9202141266
1087242568
11452786a6
1225273720
13150c7b2a
14b82dd20
1579d49b3
hex5333748

87242568 has 32 divisors (see below), whose sum is σ = 249264960. Its totient is φ = 24926400.

The previous prime is 87242537. The next prime is 87242569. The reversal of 87242568 is 86524278.

It is a happy number.

It is a super-2 number, since 2×872425682 = 15222531342469248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (87242569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 259483 + ... + 259818.

It is an arithmetic number, because the mean of its divisors is an integer number (7789530).

Almost surely, 287242568 is an apocalyptic number.

It is an amenable number.

87242568 is an abundant number, since it is smaller than the sum of its proper divisors (162022392).

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

87242568 is a wasteful number, since it uses less digits than its factorization.

87242568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519317 (or 519313 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 87242568 is about 9340.3730118235. The cubic root of 87242568 is about 443.5161924295.

The spelling of 87242568 in words is "eighty-seven million, two hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 519301 1038602 1557903 2077204 3115806 3635107 4154408 6231612 7270214 10905321 12463224 14540428 21810642 29080856 43621284 87242568