Search a number
-
+
31476942 = 23271311907
BaseRepresentation
bin111100000010…
…0110011001110
32012020012020200
41320010303032
531024230232
63042354330
7531356340
oct170046316
965205220
1031476942
111684a102
12a65b9a6
1366a1313
144275290
152b6b77c
hex1e04cce

31476942 has 48 divisors (see below), whose sum is σ = 78579072. Its totient is φ = 8920080.

The previous prime is 31476931. The next prime is 31476947. The reversal of 31476942 is 24967413.

It is a junction number, because it is equal to n+sod(n) for n = 31476897 and 31476906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31476947) 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, 15553 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (1637064).

Almost surely, 231476942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31476942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39289536).

31476942 is an abundant number, since it is smaller than the sum of its proper divisors (47102130).

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

31476942 is a wasteful number, since it uses less digits than its factorization.

31476942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2050 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 31476942 is about 5610.4315342048. The cubic root of 31476942 is about 315.7409014855.

The spelling of 31476942 in words is "thirty-one million, four hundred seventy-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 1907 2358 2751 3814 5502 5721 8253 11442 13349 16506 17163 26698 34326 40047 80094 120141 240282 249817 499634 749451 1498902 1748719 2248353 3497438 4496706 5246157 10492314 15738471 31476942