Search a number
-
+
23282792 = 23132171013
BaseRepresentation
bin101100011010…
…0010001101000
31121210212222122
41120310101220
521430022132
62151010412
7401620601
oct130642150
947725878
1023282792
1112162785
127969a08
134a92700
143140da8
15209d912
hex1634468

23282792 has 48 divisors (see below), whose sum is σ = 50101740. Its totient is φ = 10103808.

The previous prime is 23282789. The next prime is 23282807. The reversal of 23282792 is 29728232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 682276 + 22600516 = 826^2 + 4754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22478 + ... + 23490.

Almost surely, 223282792 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 23282792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050870).

23282792 is an abundant number, since it is smaller than the sum of its proper divisors (26818948).

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

23282792 is a wasteful number, since it uses less digits than its factorization.

23282792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1045 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 23282792 is about 4825.2245543601. The cubic root of 23282792 is about 285.5474937934.

The spelling of 23282792 in words is "twenty-three million, two hundred eighty-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1013 1352 1768 2026 2873 4052 5746 8104 11492 13169 17221 22984 26338 34442 52676 68884 105352 137768 171197 223873 342394 447746 684788 895492 1369576 1790984 2910349 5820698 11641396 23282792