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31688052 = 22311673583
BaseRepresentation
bin111100011100…
…0010101110100
32012121220211120
41320320111310
531103004202
63051103540
7533225664
oct170702564
965556746
1031688052
1116983780
12a741bb0
136746436
1442cc1a4
152bae0bc
hex1e38574

31688052 has 48 divisors (see below), whose sum is σ = 81887232. Its totient is φ = 9456480.

The previous prime is 31688023. The next prime is 31688071. The reversal of 31688052 is 25088613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 7053 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (1705984).

Almost surely, 231688052 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 31688052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40943616).

31688052 is an abundant number, since it is smaller than the sum of its proper divisors (50199180).

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

31688052 is a wasteful number, since it uses less digits than its factorization.

31688052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 31688052 is about 5629.2141547466. The cubic root of 31688052 is about 316.4452011374.

The spelling of 31688052 in words is "thirty-one million, six hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 3583 4422 7166 8844 10749 14332 21498 39413 42996 78826 118239 157652 236478 240061 472956 480122 720183 960244 1440366 2640671 2880732 5281342 7922013 10562684 15844026 31688052