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89364672 = 2632473301
BaseRepresentation
bin1010101001110…
…01100011000000
320020011012021200
411110321203000
5140334132142
612511221200
72133405255
oct524714300
9206135250
1089364672
1146498001
1225b17800
131568ba07
14bc2342c
157ca364c
hex55398c0

89364672 has 84 divisors (see below), whose sum is σ = 261676896. Its totient is φ = 29145600.

The previous prime is 89364659. The next prime is 89364673. The reversal of 89364672 is 27646398.

It is not an unprimeable number, because it can be changed into a prime (89364673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25422 + ... + 28722.

Almost surely, 289364672 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 89364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130838448).

89364672 is an abundant number, since it is smaller than the sum of its proper divisors (172312224).

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

89364672 is a wasteful number, since it uses less digits than its factorization.

89364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3353 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 89364672 is about 9453.2889514708. The cubic root of 89364672 is about 447.0834791464.

The spelling of 89364672 in words is "eighty-nine million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3301 3384 4512 6602 6768 9024 9903 13204 13536 19806 26408 27072 29709 39612 52816 59418 79224 105632 118836 155147 158448 211264 237672 310294 316896 465441 475344 620588 633792 930882 950688 1241176 1396323 1861764 1901376 2482352 2792646 3723528 4964704 5585292 7447056 9929408 11170584 14894112 22341168 29788224 44682336 89364672