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8996864 = 21123191
BaseRepresentation
bin100010010100…
…100000000000
3121221002101012
4202110200000
54300344424
6520500052
7136320632
oct42244000
917832335
108996864
115095528
12301a628
131b300b6
1412a2a52
15bcab0e
hex894800

8996864 has 48 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 4280320.

The previous prime is 8996863. The next prime is 8996879. The reversal of 8996864 is 4686998.

Its product of digits (746496) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8996863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47009 + ... + 47199.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 28996864 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 8996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

8996864 is an abundant number, since it is smaller than the sum of its proper divisors (9872896).

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

8996864 is a wasteful number, since it uses less digits than its factorization.

8996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 8996864 is about 2999.4772877953. The cubic root of 8996864 is about 207.9842197101.

The spelling of 8996864 in words is "eight million, nine hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 191 256 368 382 512 736 764 1024 1472 1528 2048 2944 3056 4393 5888 6112 8786 11776 12224 17572 23552 24448 35144 47104 48896 70288 97792 140576 195584 281152 391168 562304 1124608 2249216 4498432 8996864