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89866464 = 2531635743
BaseRepresentation
bin1010101101101…
…00000011100000
320021002200121120
411112310003200
5141001211324
612530052240
72140565232
oct526640340
9207080546
1089866464
1146800006
122611a080
131580622c
14bd14252
157d52179
hex55b40e0

89866464 has 48 divisors (see below), whose sum is σ = 237388032. Its totient is φ = 29766528.

The previous prime is 89866457. The next prime is 89866487. The reversal of 89866464 is 46466898.

It is a tau number, because it is divible by the number of its divisors (48).

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, 12777 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (4945584).

Almost surely, 289866464 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 89866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118694016).

89866464 is an abundant number, since it is smaller than the sum of its proper divisors (147521568).

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

89866464 is a wasteful number, since it uses less digits than its factorization.

89866464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5911 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 89866464 is about 9479.7924027903. The cubic root of 89866464 is about 447.9187246268.

The spelling of 89866464 in words is "eighty-nine million, eight hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 5743 7824 11486 15648 17229 22972 34458 45944 68916 91888 137832 183776 275664 551328 936109 1872218 2808327 3744436 5616654 7488872 11233308 14977744 22466616 29955488 44933232 89866464