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4959904 = 25232293
BaseRepresentation
bin10010111010111010100000
3100022222201011
4102322322200
52232204104
6254150304
760105235
oct22727240
910288634
104959904
1128884a4
1217b2394
131048771
1493178c
1567e904
hex4baea0

4959904 has 36 divisors (see below), whose sum is σ = 10242666. Its totient is φ = 2364032.

The previous prime is 4959883. The next prime is 4959919. The reversal of 4959904 is 4099594.

It can be written as a sum of positive squares in only one way, i.e., 3055504 + 1904400 = 1748^2 + 1380^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16782 + ... + 17074.

Almost surely, 24959904 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 4959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121333).

4959904 is an abundant number, since it is smaller than the sum of its proper divisors (5282762).

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

4959904 is a wasteful number, since it uses less digits than its factorization.

4959904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 4959904 is about 2227.0841923915. The cubic root of 4959904 is about 170.5392793980.

The spelling of 4959904 in words is "four million, nine hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 293 368 529 586 736 1058 1172 2116 2344 4232 4688 6739 8464 9376 13478 16928 26956 53912 107824 154997 215648 309994 619988 1239976 2479952 4959904