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89427024 = 24331371511
BaseRepresentation
bin1010101010010…
…00110001010000
320020021100211000
411111020301100
5140343131044
612512422000
72134055121
oct525106120
9206240730
1089427024
114652a935
1225b47900
13156b11cb
14bc3c048
157cb6d69
hex5548c50

89427024 has 80 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 29571840.

The previous prime is 89427017. The next prime is 89427047. The reversal of 89427024 is 42072498.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 89427024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58429 + ... + 59939.

It is an arithmetic number, because the mean of its divisors is an integer number (3234168).

Almost surely, 289427024 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 89427024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

89427024 is an abundant number, since it is smaller than the sum of its proper divisors (169306416).

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

89427024 is a wasteful number, since it uses less digits than its factorization.

89427024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 89427024 is about 9456.5862762415. The cubic root of 89427024 is about 447.1874354698.

The spelling of 89427024 in words is "eighty-nine million, four hundred twenty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 1096 1233 1511 1644 2192 2466 3022 3288 3699 4533 4932 6044 6576 7398 9066 9864 12088 13599 14796 18132 19728 24176 27198 29592 36264 40797 54396 59184 72528 81594 108792 163188 207007 217584 326376 414014 621021 652752 828028 1242042 1656056 1863063 2484084 3312112 3726126 4968168 5589189 7452252 9936336 11178378 14904504 22356756 29809008 44713512 89427024