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293424992 = 2572774729
BaseRepresentation
bin10001011111010…
…100111101100000
3202110010112102022
4101133110331200
51100104044432
645041041012
710162033310
oct2137247540
9673115368
10293424992
111406a35a3
1282326168
1348a38173
142ad81440
151ab60b12
hex117d4f60

293424992 has 48 divisors (see below), whose sum is σ = 662729760. Its totient is φ = 125273088.

The previous prime is 293424949. The next prime is 293424997. The reversal of 293424992 is 299424392.

293424992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293424997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59684 + ... + 64412.

It is an arithmetic number, because the mean of its divisors is an integer number (13806870).

Almost surely, 2293424992 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 293424992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331364880).

293424992 is an abundant number, since it is smaller than the sum of its proper divisors (369304768).

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

293424992 is a wasteful number, since it uses less digits than its factorization.

293424992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5015 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 293424992 is about 17129.6524191240. The cubic root of 293424992 is about 664.5061945480.

The spelling of 293424992 in words is "two hundred ninety-three million, four hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 3878 4432 4729 7756 8864 9458 15512 18916 31024 33103 37832 62048 66206 75664 132412 151328 264824 529648 1059296 1309933 2619866 5239732 9169531 10479464 18339062 20958928 36678124 41917856 73356248 146712496 293424992