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4199904 = 25334861
BaseRepresentation
bin10000000001010111100000
321220101012000
4100001113200
52033344104
6230004000
750461422
oct20012740
97811160
104199904
1124094a5
1214a6600
13b40867
147b4812
1557e639
hex4015e0

4199904 has 48 divisors (see below), whose sum is σ = 12252240. Its totient is φ = 1399680.

The previous prime is 4199903. The next prime is 4199927. The reversal of 4199904 is 4099914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (255255).

Almost surely, 24199904 is an apocalyptic number.

It is an amenable number.

4199904 is an abundant number, since it is smaller than the sum of its proper divisors (8052336).

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

4199904 is a wasteful number, since it uses less digits than its factorization.

4199904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4199904 is about 2049.3667314563. The cubic root of 4199904 is about 161.3416353141.

The spelling of 4199904 in words is "four million, one hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4861 9722 14583 19444 29166 38888 43749 58332 77776 87498 116664 131247 155552 174996 233328 262494 349992 466656 524988 699984 1049976 1399968 2099952 4199904