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5268816 = 243275227
BaseRepresentation
bin10100000110010101010000
3100220200110100
4110012111100
52322100231
6304532400
762532660
oct24062520
910820410
105268816
112a795a3
121921100
131126257
149b21a0
156e11e6
hex506550

5268816 has 60 divisors (see below), whose sum is σ = 16855072. Its totient is φ = 1505088.

The previous prime is 5268811. The next prime is 5268899. The reversal of 5268816 is 6188625.

It is a happy number.

5268816 is nontrivially palindromic in base 15.

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 (5268811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1606 + ... + 3621.

Almost surely, 25268816 is an apocalyptic number.

5268816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5268816 is an abundant number, since it is smaller than the sum of its proper divisors (11586256).

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

5268816 is a wasteful number, since it uses less digits than its factorization.

5268816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5239 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5268816 is about 2295.3901629135. The cubic root of 5268816 is about 174.0087193411.

It can be divided in two parts, 5268 and 816, that added together give a square (6084 = 782).

The spelling of 5268816 in words is "five million, two hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 5227 10454 15681 20908 31362 36589 41816 47043 62724 73178 83632 94086 109767 125448 146356 188172 219534 250896 292712 329301 376344 439068 585424 658602 752688 878136 1317204 1756272 2634408 5268816