Search a number
-
+
631128852 = 2232192114373
BaseRepresentation
bin100101100111100…
…100001100010100
31121222120200000200
4211213210030110
52243032110402
6142343140500
721432335544
oct4547441424
91558520020
10631128852
112a428a4a2
12157444730
13a09a7633
145db6b324
153a61b21c
hex259e4314

631128852 has 72 divisors (see below), whose sum is σ = 1687664160. Its totient is φ = 198313920.

The previous prime is 631128847. The next prime is 631128881. The reversal of 631128852 is 258821136.

It is a happy number.

631128852 is a `hidden beast` number, since 631 + 12 + 8 + 8 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (4608).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 142138 + ... + 146510.

It is an arithmetic number, because the mean of its divisors is an integer number (23439780).

Almost surely, 2631128852 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 631128852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843832080).

631128852 is an abundant number, since it is smaller than the sum of its proper divisors (1056535308).

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

631128852 is a wasteful number, since it uses less digits than its factorization.

631128852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4608 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 631128852 is about 25122.2780018055. The cubic root of 631128852 is about 857.7736048316.

Adding to 631128852 its reverse (258821136), we get a palindrome (889949988).

The spelling of 631128852 in words is "six hundred thirty-one million, one hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 211 228 342 422 633 684 844 1266 1899 2532 3798 4009 4373 7596 8018 8746 12027 13119 16036 17492 24054 26238 36081 39357 48108 52476 72162 78714 83087 144324 157428 166174 249261 332348 498522 747783 922703 997044 1495566 1845406 2768109 2991132 3690812 5536218 8304327 11072436 16608654 17531357 33217308 35062714 52594071 70125428 105188142 157782213 210376284 315564426 631128852