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88950096 = 24331910837
BaseRepresentation
bin1010100110101…
…00010101010000
320012101010121000
411103110111100
5140232400341
612454302000
72130030504
oct523242520
9205333530
1088950096
1146234584
1225957900
13155750c1
14bb56304
157c208b6
hex54d4550

88950096 has 80 divisors (see below), whose sum is σ = 268782400. Its totient is φ = 28086912.

The previous prime is 88950091. The next prime is 88950107. The reversal of 88950096 is 69005988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88950091) by changing a digit.

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, 2790 + ... + 13626.

It is an arithmetic number, because the mean of its divisors is an integer number (3359780).

Almost surely, 288950096 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 88950096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134391200).

88950096 is an abundant number, since it is smaller than the sum of its proper divisors (179832304).

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

88950096 is a wasteful number, since it uses less digits than its factorization.

88950096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 88950096 is about 9431.3358544800. The cubic root of 88950096 is about 446.3910450279.

The spelling of 88950096 in words is "eighty-eight million, nine hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 10837 21674 32511 43348 65022 86696 97533 130044 173392 195066 205903 260088 292599 390132 411806 520176 585198 617709 780264 823612 1170396 1235418 1560528 1647224 1853127 2340792 2470836 3294448 3706254 4681584 4941672 5559381 7412508 9883344 11118762 14825016 22237524 29650032 44475048 88950096