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31689192 = 23331191223
BaseRepresentation
bin111100011100…
…0100111101000
32012121222101210
41320320213220
531103023232
63051113120
7533232213
oct170704750
965558353
1031689192
1116984617
12a7427a0
136746b02
1442cc77a
152bae5cc
hex1e389e8

31689192 has 64 divisors (see below), whose sum is σ = 82575360. Its totient is φ = 10123200.

The previous prime is 31689157. The next prime is 31689247. The reversal of 31689192 is 29198613.

It is a super-2 number, since 2×316891922 = 2008409779225728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31689192.

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, 141993 + ... + 142215.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 231689192 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 31689192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287680).

31689192 is an abundant number, since it is smaller than the sum of its proper divisors (50886168).

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

31689192 is a wasteful number, since it uses less digits than its factorization.

31689192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 31689192 is about 5629.3154113089. The cubic root of 31689192 is about 316.4489958716.

The spelling of 31689192 in words is "thirty-one million, six hundred eighty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 191 223 248 372 382 446 573 669 744 764 892 1146 1338 1528 1784 2292 2676 4584 5352 5921 6913 11842 13826 17763 20739 23684 27652 35526 41478 42593 47368 55304 71052 82956 85186 127779 142104 165912 170372 255558 340744 511116 1022232 1320383 2640766 3961149 5281532 7922298 10563064 15844596 31689192