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31631964 = 22371383349
BaseRepresentation
bin111100010101…
…0101001011100
32012112001220020
41320222221130
531044210324
63045552140
7532603320
oct170525134
965461806
1031631964
1116945621
12a715650
136726a50
1442b5980
152b9c679
hex1e2aa5c

31631964 has 96 divisors (see below), whose sum is σ = 92198400. Its totient is φ = 8218368.

The previous prime is 31631959. The next prime is 31631981. The reversal of 31631964 is 46913613.

It is a super-2 number, since 2×316319642 = 2001162292994592, which contains 22 as substring.

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, 90462 + ... + 90810.

It is an arithmetic number, because the mean of its divisors is an integer number (960400).

Almost surely, 231631964 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 31631964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46099200).

31631964 is an abundant number, since it is smaller than the sum of its proper divisors (60566436).

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

31631964 is a wasteful number, since it uses less digits than its factorization.

31631964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 31631964 is about 5624.2300806421. The cubic root of 31631964 is about 316.2583877126.

The spelling of 31631964 in words is "thirty-one million, six hundred thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 83 84 91 156 166 182 249 273 332 349 364 498 546 581 698 996 1047 1079 1092 1162 1396 1743 2094 2158 2324 2443 3237 3486 4188 4316 4537 4886 6474 6972 7329 7553 9074 9772 12948 13611 14658 15106 18148 22659 27222 28967 29316 30212 31759 45318 54444 57934 63518 86901 90636 95277 115868 127036 173802 190554 202769 347604 376571 381108 405538 608307 753142 811076 1129713 1216614 1506284 2259426 2433228 2635997 4518852 5271994 7907991 10543988 15815982 31631964