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88096480 = 2551374019
BaseRepresentation
bin1010100000000…
…11111011100000
320010202202122121
411100003323200
5140023041410
612424114024
72116544023
oct520037340
9203682577
1088096480
114580120a
1225605914
13153366c4
14b9b31ba
157b029da
hex5403ee0

88096480 has 48 divisors (see below), whose sum is σ = 209699280. Its totient is φ = 34972672.

The previous prime is 88096457. The next prime is 88096523. The reversal of 88096480 is 8469088.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19911 + ... + 23929.

It is an arithmetic number, because the mean of its divisors is an integer number (4368735).

Almost surely, 288096480 is an apocalyptic number.

88096480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104849640).

88096480 is an abundant number, since it is smaller than the sum of its proper divisors (121602800).

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

88096480 is a wasteful number, since it uses less digits than its factorization.

88096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 88096480 is about 9385.9725122120. The cubic root of 88096480 is about 444.9585114710.

The spelling of 88096480 in words is "eighty-eight million, ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4019 4384 5480 8038 10960 16076 20095 21920 32152 40190 64304 80380 128608 160760 321520 550603 643040 1101206 2202412 2753015 4404824 5506030 8809648 11012060 17619296 22024120 44048240 88096480