Search a number
-
+
632139804 = 2232194122541
BaseRepresentation
bin100101101011011…
…011000000011100
31122001111000210100
4211223123000130
52243311433204
6142420541100
721444046122
oct4553330034
91561430710
10632139804
112a490aa9a
12157851790
13a0c6c82a
145dd51912
153a76aa39
hex25adb01c

632139804 has 72 divisors (see below), whose sum is σ = 1723110480. Its totient is φ = 194745600.

The previous prime is 632139803. The next prime is 632139811. The reversal of 632139804 is 408931236.

632139804 is a `hidden beast` number, since 632 + 13 + 9 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632139803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16774 + ... + 39314.

It is an arithmetic number, because the mean of its divisors is an integer number (23932090).

Almost surely, 2632139804 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 632139804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861555240).

632139804 is an abundant number, since it is smaller than the sum of its proper divisors (1090970676).

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

632139804 is a wasteful number, since it uses less digits than its factorization.

632139804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22611 (or 22606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 632139804 is about 25142.3905784633. The cubic root of 632139804 is about 858.2313588681.

The spelling of 632139804 in words is "six hundred thirty-two million, one hundred thirty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2337 3116 4674 7011 9348 14022 22541 28044 45082 67623 90164 135246 202869 270492 405738 428279 811476 856558 924181 1284837 1713116 1848362 2569674 2772543 3696724 3854511 5139348 5545086 7709022 8317629 11090172 15418044 16635258 17559439 33270516 35118878 52678317 70237756 105356634 158034951 210713268 316069902 632139804