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5109264 = 243311827
BaseRepresentation
bin10011011111011000010000
3100121120121000
4103133120100
52301444024
6301302000
761266546
oct23373020
910546530
105109264
11297a736
121864900
13109b744
1496dd96
156adcc9
hex4df610

5109264 has 40 divisors (see below), whose sum is σ = 14666720. Its totient is φ = 1702944.

The previous prime is 5109259. The next prime is 5109283. The reversal of 5109264 is 4629015.

5109264 is a `hidden beast` number, since 510 + 92 + 64 = 666.

It is a super-2 number, since 2×51092642 = 52209157243392, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 5482 + ... + 6345.

It is an arithmetic number, because the mean of its divisors is an integer number (366668).

Almost surely, 25109264 is an apocalyptic number.

5109264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5109264 is an abundant number, since it is smaller than the sum of its proper divisors (9557456).

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

5109264 is a wasteful number, since it uses less digits than its factorization.

5109264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11832 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5109264 is about 2260.3681116137. The cubic root of 5109264 is about 172.2342220952.

Subtracting from 5109264 its reverse (4629015), we obtain a square (480249 = 6932).

The spelling of 5109264 in words is "five million, one hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11827 23654 35481 47308 70962 94616 106443 141924 189232 212886 283848 319329 425772 567696 638658 851544 1277316 1703088 2554632 5109264