Search a number
-
+
5339904 = 28317409
BaseRepresentation
bin10100010111101100000000
3101001021222020
4110113230000
52331334104
6310241440
763250143
oct24275400
911037866
105339904
113017a49
121956280
13114c70b
149d005a
157072d9
hex517b00

5339904 has 72 divisors (see below), whose sum is σ = 15084720. Its totient is φ = 1671168.

The previous prime is 5339903. The next prime is 5339987. The reversal of 5339904 is 4099335.

It is not an unprimeable number, because it can be changed into a prime (5339903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12852 + ... + 13260.

It is an arithmetic number, because the mean of its divisors is an integer number (209510).

Almost surely, 25339904 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 5339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542360).

5339904 is an abundant number, since it is smaller than the sum of its proper divisors (9744816).

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

5339904 is a wasteful number, since it uses less digits than its factorization.

5339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 5339904 is about 2310.8232299334. The cubic root of 5339904 is about 174.7878135775.

The spelling of 5339904 in words is "five million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 409 544 768 816 818 1088 1227 1632 1636 2176 2454 3264 3272 4352 4908 6528 6544 6953 9816 13056 13088 13906 19632 20859 26176 27812 39264 41718 52352 55624 78528 83436 104704 111248 157056 166872 222496 314112 333744 444992 667488 889984 1334976 1779968 2669952 5339904