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631974096 = 243313432617
BaseRepresentation
bin100101101010110…
…010100011010000
31122001011121111000
4211222302203100
52243241132341
6142413222000
721442456035
oct4552624320
91561147430
10631974096
112a4807546
12157791900
13a0c12290
145dd0b38c
153a7368b6
hex25ab28d0

631974096 has 160 divisors (see below), whose sum is σ = 1999733120. Its totient is φ = 189858816.

The previous prime is 631974073. The next prime is 631974131. The reversal of 631974096 is 690479136.

631974096 is a `hidden beast` number, since 631 + 9 + 7 + 4 + 0 + 9 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 240180 + ... + 242796.

It is an arithmetic number, because the mean of its divisors is an integer number (12498332).

Almost surely, 2631974096 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 631974096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999866560).

631974096 is an abundant number, since it is smaller than the sum of its proper divisors (1367759024).

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

631974096 is a wasteful number, since it uses less digits than its factorization.

631974096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 631974096 is about 25139.0949717765. The cubic root of 631974096 is about 858.1563605688.

The spelling of 631974096 in words is "six hundred thirty-one million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1872 2064 2236 2322 2617 2808 3096 3354 4472 4644 5031 5234 5616 6192 6708 7851 8944 9288 10062 10468 13416 15093 15702 18576 20124 20936 23553 26832 30186 31404 34021 40248 41872 47106 60372 62808 68042 70659 80496 94212 102063 112531 120744 125616 136084 141318 188424 204126 225062 241488 272168 282636 306189 337593 376848 408252 450124 544336 565272 612378 675186 816504 900248 918567 1012779 1130544 1224756 1350372 1462903 1633008 1800496 1837134 2025558 2449512 2700744 2925806 3038337 3674268 4051116 4388709 4899024 5401488 5851612 6076674 7348536 8102232 8777418 11703224 12153348 13166127 14697072 16204464 17554836 23406448 24306696 26332254 35109672 39498381 48613392 52664508 70219344 78996762 105329016 157993524 210658032 315987048 631974096