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5009904 = 243311597
BaseRepresentation
bin10011000111000111110000
3100102112022000
4103013013300
52240304104
6255214000
760404064
oct23070760
910375260
105009904
112912019
121817300
131065453
14945aa4
1568e639
hex4c71f0

5009904 has 40 divisors (see below), whose sum is σ = 14381520. Its totient is φ = 1669824.

The previous prime is 5009897. The next prime is 5009909. The reversal of 5009904 is 4099005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009909) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5367 + ... + 6230.

It is an arithmetic number, because the mean of its divisors is an integer number (359538).

Almost surely, 25009904 is an apocalyptic number.

5009904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5009904 is an abundant number, since it is smaller than the sum of its proper divisors (9371616).

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

5009904 is a wasteful number, since it uses less digits than its factorization.

5009904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5009904 is about 2238.2814836387. The cubic root of 5009904 is about 171.1104242147.

It can be divided in two parts, 500 and 9904, that added together give a square (10404 = 1022).

The spelling of 5009904 in words is "five million, nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11597 23194 34791 46388 69582 92776 104373 139164 185552 208746 278328 313119 417492 556656 626238 834984 1252476 1669968 2504952 5009904