Search a number
-
+
31962942 = 232111091481
BaseRepresentation
bin111100111101…
…1011100111110
32020010212220200
41321323130332
531140303232
63101024330
7535452264
oct171733476
966125820
1031962942
1117051260
12a8550a6
1368115ab
144360434
152c1577c
hex1e7b73e

31962942 has 48 divisors (see below), whose sum is σ = 76293360. Its totient is φ = 9590400.

The previous prime is 31962937. The next prime is 31962943. The reversal of 31962942 is 24926913.

It is a super-2 number, since 2×319629422 = 2043259322590728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31962897 and 31962906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31962943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20842 + ... + 22322.

It is an arithmetic number, because the mean of its divisors is an integer number (1589445).

Almost surely, 231962942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31962942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146680).

31962942 is an abundant number, since it is smaller than the sum of its proper divisors (44330418).

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

31962942 is a wasteful number, since it uses less digits than its factorization.

31962942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1606 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 31962942 is about 5653.5778052486. The cubic root of 31962942 is about 317.3576090794.

The spelling of 31962942 in words is "thirty-one million, nine hundred sixty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1481 1962 2398 2962 3597 4443 7194 8886 10791 13329 16291 21582 26658 32582 48873 97746 146619 161429 293238 322858 484287 968574 1452861 1775719 2905722 3551438 5327157 10654314 15981471 31962942