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89366016 = 29373797
BaseRepresentation
bin1010101001110…
…01111000000000
320020011021010110
411110321320000
5140334203031
612511231320
72133412215
oct524717000
9206137113
1089366016
1146499013
1225b18540
131568c4cc
14bc23b0c
157ca3c46
hex5539e00

89366016 has 80 divisors (see below), whose sum is σ = 241640784. Its totient is φ = 29343744.

The previous prime is 89366009. The next prime is 89366027. The reversal of 89366016 is 61066398.

It is a happy number.

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, 111730 + ... + 112526.

Almost surely, 289366016 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 89366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120820392).

89366016 is an abundant number, since it is smaller than the sum of its proper divisors (152274768).

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

89366016 is an equidigital number, since it uses as much as digits as its factorization.

89366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 89366016 is about 9453.3600375739. The cubic root of 89366016 is about 447.0857204392.

The spelling of 89366016 in words is "eighty-nine million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 797 876 1168 1536 1594 1752 2336 2391 3188 3504 4672 4782 6376 7008 9344 9564 12752 14016 18688 19128 25504 28032 37376 38256 51008 56064 58181 76512 102016 112128 116362 153024 174543 204032 232724 306048 349086 408064 465448 612096 698172 930896 1224192 1396344 1861792 2792688 3723584 5585376 7447168 11170752 14894336 22341504 29788672 44683008 89366016