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88332 = 22317433
BaseRepresentation
bin10101100100001100
311111011120
4111210030
510311312
61520540
7515346
oct254414
9144146
1088332
1160402
1243150
133128a
1424296
151b28c
hex1590c

88332 has 24 divisors (see below), whose sum is σ = 218736. Its totient is φ = 27648.

The previous prime is 88327. The next prime is 88337. The reversal of 88332 is 23388.

It is an interprime number because it is at equal distance from previous prime (88327) and next prime (88337).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

288332 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 88332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368).

88332 is an abundant number, since it is smaller than the sum of its proper divisors (130404).

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

88332 is a wasteful number, since it uses less digits than its factorization.

88332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 88332 is about 297.2069985717. The cubic root of 88332 is about 44.5354680831.

The spelling of 88332 in words is "eighty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 433 866 1299 1732 2598 5196 7361 14722 22083 29444 44166 88332