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89465376 = 25373111319
BaseRepresentation
bin1010101010100…
…10001000100000
320020100022102110
411111102020200
5140400343001
612513315320
72134305000
oct525221040
9206308373
1089465376
1146556730
1225b65b40
13156c57c0
14bc4c000
157cc33d6
hex5552220

89465376 has 384 divisors, whose sum is σ = 338688000. Its totient is φ = 20321280.

The previous prime is 89465359. The next prime is 89465399. The reversal of 89465376 is 67356498.

89465376 is a nontrivial binomial coefficient, being equal to C(13377, 2).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4708695 + ... + 4708713.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 289465376 is an apocalyptic number.

89465376 is the 13376-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89465376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

89465376 is an abundant number, since it is smaller than the sum of its proper divisors (249222624).

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

89465376 is a wasteful number, since it uses less digits than its factorization.

89465376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 89465376 is about 9458.6138519341. The cubic root of 89465376 is about 447.2513538119.

The spelling of 89465376 in words is "eighty-nine million, four hundred sixty-five thousand, three hundred seventy-six".