Search a number
-
+
393253992 = 23325461861
BaseRepresentation
bin10111011100001…
…001010001101000
31000101222101001200
4113130021101220
51301133111432
6103004444200
712513414045
oct2734112150
91011871050
10393253992
11191a885aa
12ab849660
136361bb91
143a32a1cc
15247cea7c
hex17709468

393253992 has 24 divisors (see below), whose sum is σ = 1065063090. Its totient is φ = 131084640.

The previous prime is 393253967. The next prime is 393254027. The reversal of 393253992 is 299352393.

393253992 is a `hidden beast` number, since 393 + 253 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245047716 + 148206276 = 15654^2 + 12174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2730859 + ... + 2731002.

Almost surely, 2393253992 is an apocalyptic number.

It is an amenable number.

393253992 is an abundant number, since it is smaller than the sum of its proper divisors (671809098).

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

393253992 is a wasteful number, since it uses less digits than its factorization.

393253992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461873 (or 5461866 counting only the distinct ones).

The product of its digits is 393660, while the sum is 45.

The square root of 393253992 is about 19830.6326676685. The cubic root of 393253992 is about 732.6407093004.

The spelling of 393253992 in words is "three hundred ninety-three million, two hundred fifty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5461861 10923722 16385583 21847444 32771166 43694888 49156749 65542332 98313498 131084664 196626996 393253992