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88044 = 223112329
BaseRepresentation
bin10101011111101100
311110202220
4111133230
510304134
61515340
7514455
oct253754
9143686
1088044
1160170
1242b50
13310c8
142412c
151b149
hex157ec

88044 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 24640.

The previous prime is 88037. The next prime is 88069. The reversal of 88044 is 44088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3022 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

288044 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 88044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

88044 is an abundant number, since it is smaller than the sum of its proper divisors (153876).

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

88044 is a wasteful number, since it uses less digits than its factorization.

88044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 88044 is about 296.7220922008. The cubic root of 88044 is about 44.4870138432.

Subtracting from 88044 its reverse (44088), we obtain a triangular number (43956 = T296).

The spelling of 88044 in words is "eighty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 29 33 44 46 58 66 69 87 92 116 132 138 174 253 276 319 348 506 638 667 759 957 1012 1276 1334 1518 1914 2001 2668 3036 3828 4002 7337 8004 14674 22011 29348 44022 88044