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31607631 = 3311313433
BaseRepresentation
bin111100010010…
…0101101001111
32012110211112000
41320210231033
531042421011
63045243343
7532442346
oct170445517
965424460
1031607631
1116929310
12a703553
136718953
1442aab5d
152b95356
hex1e24b4f

31607631 has 32 divisors (see below), whose sum is σ = 52746240. Its totient is φ = 18532800.

The previous prime is 31607629. The next prime is 31607671. The reversal of 31607631 is 13670613.

It is not a de Polignac number, because 31607631 - 21 = 31607629 is a prime.

It is a super-2 number, since 2×316076312 = 1998084674864322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31607595 and 31607604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31607671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7491 + ... + 10923.

It is an arithmetic number, because the mean of its divisors is an integer number (1648320).

Almost surely, 231607631 is an apocalyptic number.

31607631 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31607631 is a deficient number, since it is larger than the sum of its proper divisors (21138609).

31607631 is a wasteful number, since it uses less digits than its factorization.

31607631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31607631 is about 5622.0664350397. The cubic root of 31607631 is about 316.1772726158.

The spelling of 31607631 in words is "thirty-one million, six hundred seven thousand, six hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 3433 9207 10299 30897 37763 92691 106423 113289 319269 339867 957807 1019601 1170653 2873421 3511959 10535877 31607631