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6239872 = 2729412
BaseRepresentation
bin10111110011011010000000
3102202000111101
4113303122000
53044133442
6341424144
7104016022
oct27633200
912660441
106239872
113582121
12210b054
1313a6242
14b86012
15833cb7
hex5f3680

6239872 has 48 divisors (see below), whose sum is σ = 13180950. Its totient is φ = 2938880.

The previous prime is 6239839. The next prime is 6239887. The reversal of 6239872 is 2789326.

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 4096576 = 1464^2 + 2024^2 .

Its product of digits (36288) is a multiple of the sum of its prime divisors (72).

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 5 ways as a sum of consecutive naturals, for example, 152172 + ... + 152212.

Almost surely, 26239872 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 6239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590475).

6239872 is an abundant number, since it is smaller than the sum of its proper divisors (6941078).

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

6239872 is an equidigital number, since it uses as much as digits as its factorization.

6239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 6239872 is about 2497.9735787234. The cubic root of 6239872 is about 184.1020228159.

The spelling of 6239872 in words is "six million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 328 464 656 928 1189 1312 1681 1856 2378 2624 3362 3712 4756 5248 6724 9512 13448 19024 26896 38048 48749 53792 76096 97498 107584 152192 194996 215168 389992 779984 1559968 3119936 6239872