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631531404 = 22347239779
BaseRepresentation
bin100101101001000…
…110011110001100
31122000100010020000
4211221012132030
52243133001104
6142355524300
721435633300
oct4551063614
91560303200
10631531404
112a4534989
121575b9690
13a0ab892a
145dc33d00
153a69a639
hex25a4678c

631531404 has 90 divisors (see below), whose sum is σ = 1920538620. Its totient is φ = 180433008.

The previous prime is 631531399. The next prime is 631531409. The reversal of 631531404 is 404135136.

It is an interprime number because it is at equal distance from previous prime (631531399) and next prime (631531409).

It is a super-2 number, since 2×6315314042 = 797663828476422432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (631531409) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4014 + ... + 35765.

It is an arithmetic number, because the mean of its divisors is an integer number (21339318).

Almost surely, 2631531404 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 631531404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960269310).

631531404 is an abundant number, since it is smaller than the sum of its proper divisors (1289007216).

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

631531404 is a wasteful number, since it uses less digits than its factorization.

631531404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39809 (or 39791 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 631531404 is about 25130.2885777303. The cubic root of 631531404 is about 857.9559369029.

The spelling of 631531404 in words is "six hundred thirty-one million, five hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 39779 79558 119337 159116 238674 278453 358011 477348 556906 716022 835359 1074033 1113812 1432044 1670718 1949171 2148066 2506077 3222099 3341436 3898342 4296132 5012154 5847513 6444198 7518231 7796684 10024308 11695026 12888396 15036462 17542539 22554693 23390052 30072924 35085078 45109386 52627617 70170156 90218772 105255234 157882851 210510468 315765702 631531404