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631988952 = 233731711867
BaseRepresentation
bin100101101010110…
…110001011011000
31122001012100212020
4211222312023120
52243242121302
6142413414440
721442550250
oct4552661330
91561170766
10631988952
112a4817721
1215779a420
13a0c18c7a
145dd12960
153a73aebc
hex25ab62d8

631988952 has 64 divisors (see below), whose sum is σ = 1811531520. Its totient is φ = 179983488.

The previous prime is 631988939. The next prime is 631988969. The reversal of 631988952 is 259889136.

It is a happy number.

631988952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 631988895 and 631988904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47323 + ... + 59189.

It is an arithmetic number, because the mean of its divisors is an integer number (28305180).

Almost surely, 2631988952 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 631988952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905765760).

631988952 is an abundant number, since it is smaller than the sum of its proper divisors (1179542568).

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

631988952 is a wasteful number, since it uses less digits than its factorization.

631988952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12196 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 631988952 is about 25139.3904460709. The cubic root of 631988952 is about 858.1630848270.

It can be divided in two parts, 63 and 1988952, that added together give a triangular number (1989015 = T1994).

The spelling of 631988952 in words is "six hundred thirty-one million, nine hundred eighty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 317 634 951 1268 1902 2219 2536 3804 4438 6657 7608 8876 11867 13314 17752 23734 26628 35601 47468 53256 71202 83069 94936 142404 166138 249207 284808 332276 498414 664552 996828 1993656 3761839 7523678 11285517 15047356 22571034 26332873 30094712 45142068 52665746 78998619 90284136 105331492 157997238 210662984 315994476 631988952