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88944 = 24317109
BaseRepresentation
bin10101101101110000
311112000020
4111231300
510321234
61523440
7520212
oct255560
9145006
1088944
1160909
1243580
133163b
14245b2
151b549
hex15b70

88944 has 40 divisors (see below), whose sum is σ = 245520. Its totient is φ = 27648.

The previous prime is 88937. The next prime is 88951. The reversal of 88944 is 44988.

It is an interprime number because it is at equal distance from previous prime (88937) and next prime (88951).

It is a super-2 number, since 2×889442 = 15822070272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

88944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

288944 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 88944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

88944 is an abundant number, since it is smaller than the sum of its proper divisors (156576).

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

88944 is a wasteful number, since it uses less digits than its factorization.

88944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 88944 is about 298.2348068217. The cubic root of 88944 is about 44.6380847317.

Subtracting from 88944 its reverse (44988), we obtain a triangular number (43956 = T296).

The spelling of 88944 in words is "eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 109 136 204 218 272 327 408 436 654 816 872 1308 1744 1853 2616 3706 5232 5559 7412 11118 14824 22236 29648 44472 88944