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31693194 = 23413101149
BaseRepresentation
bin111100011100…
…1100110001010
32012122011220000
41320321212022
531103140234
63051143430
7533246661
oct170714612
965564800
1031693194
1116987625
12a744b76
136748890
1442cddd8
152bb0899
hex1e3998a

31693194 has 80 divisors (see below), whose sum is σ = 77754600. Its totient is φ = 9590400.

The previous prime is 31693183. The next prime is 31693199. The reversal of 31693194 is 49139613.

It can be written as a sum of positive squares in 4 ways, for example, as 24059025 + 7634169 = 4905^2 + 2763^2 .

It is not an unprimeable number, because it can be changed into a prime (31693199) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 212632 + ... + 212780.

Almost surely, 231693194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31693194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38877300).

31693194 is an abundant number, since it is smaller than the sum of its proper divisors (46061406).

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

31693194 is a wasteful number, since it uses less digits than its factorization.

31693194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 31693194 is about 5629.6708607165. The cubic root of 31693194 is about 316.4623166653.

The spelling of 31693194 in words is "thirty-one million, six hundred ninety-three thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 101 117 149 162 202 234 298 303 351 447 606 702 894 909 1053 1313 1341 1818 1937 2106 2626 2682 2727 3874 3939 4023 5454 5811 7878 8046 8181 11622 11817 12069 15049 16362 17433 23634 24138 30098 34866 35451 45147 52299 70902 90294 104598 106353 135441 156897 195637 212706 270882 313794 391274 406323 586911 812646 1173822 1218969 1760733 2437938 3521466 5282199 10564398 15846597 31693194