Search a number
-
+
31791492 = 22323161467
BaseRepresentation
bin111100101000…
…1100110000100
32012211011201200
41321101212010
531114311432
63053222500
7534136365
oct171214604
965734650
1031791492
1116a44467
12a791a30
136781545
144317b6c
152bcea7c
hex1e51984

31791492 has 72 divisors (see below), whose sum is σ = 84494592. Its totient is φ = 10065600.

The previous prime is 31791481. The next prime is 31791499. The reversal of 31791492 is 29419713.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31791499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67843 + ... + 68309.

It is an arithmetic number, because the mean of its divisors is an integer number (1173536).

Almost surely, 231791492 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 31791492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

31791492 is an abundant number, since it is smaller than the sum of its proper divisors (52703100).

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

31791492 is a wasteful number, since it uses less digits than its factorization.

31791492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 564 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 31791492 is about 5638.3944523242. The cubic root of 31791492 is about 316.7891534777.

It can be divided in two parts, 317 and 91492, that added together give a square (91809 = 3032).

The spelling of 31791492 in words is "thirty-one million, seven hundred ninety-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 244 279 366 372 467 549 558 732 934 1098 1116 1401 1868 1891 2196 2802 3782 4203 5604 5673 7564 8406 11346 14477 16812 17019 22692 28487 28954 34038 43431 56974 57908 68076 85461 86862 113948 130293 170922 173724 256383 260586 341844 512766 521172 883097 1025532 1766194 2649291 3532388 5298582 7947873 10597164 15895746 31791492