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89840064 = 263795923
BaseRepresentation
bin1010101101011…
…01100111000000
320021001100101210
411112231213000
5140444340224
612525330120
72140425246
oct526554700
9207040353
1089840064
1146792196
1226106940
13157c7202
14bd08796
157d49429
hex55ad9c0

89840064 has 56 divisors (see below), whose sum is σ = 240751360. Its totient is φ = 29562624.

The previous prime is 89840039. The next prime is 89840081. The reversal of 89840064 is 46004898.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12207 + ... + 18129.

Almost surely, 289840064 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 89840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120375680).

89840064 is an abundant number, since it is smaller than the sum of its proper divisors (150911296).

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

89840064 is a wasteful number, since it uses less digits than its factorization.

89840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 89840064 is about 9478.3998649561. The cubic root of 89840064 is about 447.8748587546.

The spelling of 89840064 in words is "eighty-nine million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 5923 7584 11846 15168 17769 23692 35538 47384 71076 94768 142152 189536 284304 379072 467917 568608 935834 1137216 1403751 1871668 2807502 3743336 5615004 7486672 11230008 14973344 22460016 29946688 44920032 89840064