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9979904 = 21111443
BaseRepresentation
bin100110000100…
…100000000000
3200210000212002
4212010200000
510023324104
6553523132
7150553634
oct46044000
920700762
109979904
1156a7060
1234134a8
1320b568c
14147adc4
15d2201e
hex984800

9979904 has 48 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 4526080.

The previous prime is 9979897. The next prime is 9979927. The reversal of 9979904 is 4099799.

It is an unprimeable number.

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, 22307 + ... + 22749.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 29979904 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 9979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909080).

9979904 is an abundant number, since it is smaller than the sum of its proper divisors (11838256).

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

9979904 is a wasteful number, since it uses less digits than its factorization.

9979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 47.

The square root of 9979904 is about 3159.0986056152. The cubic root of 9979904 is about 215.2990538226.

It can be divided in two parts, 997 and 9904, that added together give a palindrome (10901).

The spelling of 9979904 in words is "nine million, nine hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 443 512 704 886 1024 1408 1772 2048 2816 3544 4873 5632 7088 9746 11264 14176 19492 22528 28352 38984 56704 77968 113408 155936 226816 311872 453632 623744 907264 1247488 2494976 4989952 9979904