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8830864 = 247372131
BaseRepresentation
bin100001101011…
…111110010000
3121121122200001
4201223332100
54230041424
6513135344
7135026650
oct41537620
917548601
108830864
114a91839
122b5a554
131aa2683
14125c360
15b96844
hex86bf90

8830864 has 40 divisors (see below), whose sum is σ = 20091968. Its totient is φ = 3680640.

The previous prime is 8830859. The next prime is 8830879. The reversal of 8830864 is 4680388.

8830864 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

8830864 is strictly pandigital in base 8.

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, 3079 + ... + 5209.

Almost surely, 28830864 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 8830864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045984).

8830864 is an abundant number, since it is smaller than the sum of its proper divisors (11261104).

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

8830864 is a wasteful number, since it uses less digits than its factorization.

8830864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 8830864 is about 2971.6769676397. The cubic root of 8830864 is about 206.6971073209.

The spelling of 8830864 in words is "eight million, eight hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2131 4144 4262 8524 14917 17048 29834 34096 59668 78847 119336 157694 238672 315388 551929 630776 1103858 1261552 2207716 4415432 8830864