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5318496 = 253259313
BaseRepresentation
bin10100010010011101100000
3101000012121100
4110102131200
52330142441
6305554400
763130551
oct24223540
911005540
105318496
113002957
121945a00
131142a51
149c6328
15700cb6
hex512760

5318496 has 72 divisors (see below), whose sum is σ = 15429960. Its totient is φ = 1737216.

The previous prime is 5318483. The next prime is 5318503. The reversal of 5318496 is 6948135.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5318496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16836 + ... + 17148.

It is an arithmetic number, because the mean of its divisors is an integer number (214305).

Almost surely, 25318496 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 5318496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714980).

5318496 is an abundant number, since it is smaller than the sum of its proper divisors (10111464).

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

5318496 is a wasteful number, since it uses less digits than its factorization.

5318496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5318496 is about 2306.1864625394. The cubic root of 5318496 is about 174.5539224112.

It can be divided in two parts, 531 and 8496, that multiplied together give a square (4511376 = 21242).

The spelling of 5318496 in words is "five million, three hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 313 354 472 531 626 708 939 944 1062 1252 1416 1878 1888 2124 2504 2817 2832 3756 4248 5008 5634 5664 7512 8496 10016 11268 15024 16992 18467 22536 30048 36934 45072 55401 73868 90144 110802 147736 166203 221604 295472 332406 443208 590944 664812 886416 1329624 1772832 2659248 5318496