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8996008 = 237253433
BaseRepresentation
bin100010010100…
…010010101000
3121221001012111
4202110102220
54300333013
6520452104
7136315300
oct42242250
917831174
108996008
11509491a
12301a034
131b2c8a8
1412a2600
15bca73d
hex8944a8

8996008 has 48 divisors (see below), whose sum is σ = 20037780. Its totient is φ = 3773952.

The previous prime is 8995997. The next prime is 8996011. The reversal of 8996008 is 8006998.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 103684 = 2982^2 + 322^2 .

It is a super-3 number, since 3×89960083 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20560 + ... + 20992.

Almost surely, 28996008 is an apocalyptic number.

8996008 is the 1732-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8996008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018890).

8996008 is an abundant number, since it is smaller than the sum of its proper divisors (11041772).

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

8996008 is a wasteful number, since it uses less digits than its factorization.

8996008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 8996008 is about 2999.3345928722. The cubic root of 8996008 is about 207.9776233324.

The spelling of 8996008 in words is "eight million, nine hundred ninety-six thousand, eight".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 433 742 866 1484 1732 2597 2968 3031 3464 5194 6062 10388 12124 20776 21217 22949 24248 42434 45898 84868 91796 160643 169736 183592 321286 642572 1124501 1285144 2249002 4498004 8996008