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88339680 = 25335112132
BaseRepresentation
bin1010100001111…
…11010011100000
320011020010021000
411100333103200
5140103332210
612433232000
72121606042
oct520772340
9204203230
1088339680
1145957a00
1225702600
13153c0300
14ba37a92
157b4eac0
hex543f4e0

88339680 has 432 divisors, whose sum is σ = 368005680. Its totient is φ = 19768320.

The previous prime is 88339679. The next prime is 88339687. The reversal of 88339680 is 8693388.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88339687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6795354 + ... + 6795366.

It is an arithmetic number, because the mean of its divisors is an integer number (851865).

Almost surely, 288339680 is an apocalyptic number.

88339680 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 88339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184002840).

88339680 is an abundant number, since it is smaller than the sum of its proper divisors (279666000).

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

88339680 is a wasteful number, since it uses less digits than its factorization.

88339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 88339680 is about 9398.9190867887. The cubic root of 88339680 is about 445.3675875341.

The spelling of 88339680 in words is "eighty-eight million, three hundred thirty-nine thousand, six hundred eighty".