Search a number
-
+
631943840 = 255111572287
BaseRepresentation
bin100101101010101…
…011001010100000
31122001010001222102
4211222223022200
52243234200330
6142412425532
721442301603
oct4552531240
91561101872
10631943840
112a4796840
121577782a8
13a0c01588
145dd0033a
153a72c945
hex25aab2a0

631943840 has 96 divisors (see below), whose sum is σ = 1639782144. Its totient is φ = 228234240.

The previous prime is 631943833. The next prime is 631943849. The reversal of 631943840 is 48349136.

It is a junction number, because it is equal to n+sod(n) for n = 631943794 and 631943803.

It is not an unprimeable number, because it can be changed into a prime (631943849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 275177 + ... + 277463.

It is an arithmetic number, because the mean of its divisors is an integer number (17081064).

Almost surely, 2631943840 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 631943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819891072).

631943840 is an abundant number, since it is smaller than the sum of its proper divisors (1007838304).

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

631943840 is a wasteful number, since it uses less digits than its factorization.

631943840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 631943840 is about 25138.4931927115. The cubic root of 631943840 is about 858.1426654963.

The spelling of 631943840 in words is "six hundred thirty-one million, nine hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 314 352 440 628 785 880 1256 1570 1727 1760 2287 2512 3140 3454 4574 5024 6280 6908 8635 9148 11435 12560 13816 17270 18296 22870 25120 25157 27632 34540 36592 45740 50314 55264 69080 73184 91480 100628 125785 138160 182960 201256 251570 276320 359059 365920 402512 503140 718118 805024 1006280 1436236 1795295 2012560 2872472 3590590 3949649 4025120 5744944 7181180 7899298 11489888 14362360 15798596 19748245 28724720 31597192 39496490 57449440 63194384 78992980 126388768 157985960 315971920 631943840