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89382784 = 272397313
BaseRepresentation
bin1010101001111…
…01111110000000
320020012010010111
411110331332000
5140340222114
612511441104
72133512131
oct524757600
9206163114
1089382784
11464aa677
1225b26194
131569702a
14bc29c88
157ca8bc4
hex553df80

89382784 has 64 divisors (see below), whose sum is σ = 188324640. Its totient is φ = 42172416.

The previous prime is 89382779. The next prime is 89382791. The reversal of 89382784 is 48728398.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285412 + ... + 285724.

Almost surely, 289382784 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 89382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94162320).

89382784 is an abundant number, since it is smaller than the sum of its proper divisors (98941856).

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

89382784 is a wasteful number, since it uses less digits than its factorization.

89382784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 89382784 is about 9454.2468764043. The cubic root of 89382784 is about 447.1136813460.

The spelling of 89382784 in words is "eighty-nine million, three hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 313 368 388 626 736 776 1252 1472 1552 2231 2504 2944 3104 4462 5008 6208 7199 8924 10016 12416 14398 17848 20032 28796 30361 35696 40064 57592 60722 71392 115184 121444 142784 230368 242888 285568 460736 485776 698303 921472 971552 1396606 1943104 2793212 3886208 5586424 11172848 22345696 44691392 89382784