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31472 = 247281
BaseRepresentation
bin111101011110000
31121011122
413223300
52001342
6401412
7160520
oct75360
947148
1031472
1121711
1216268
131142c
14b680
1594d2
hex7af0

31472 has 20 divisors (see below), whose sum is σ = 69936. Its totient is φ = 13440.

The previous prime is 31469. The next prime is 31477. The reversal of 31472 is 27413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31472.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31472.

It is not an unprimeable number, because it can be changed into a prime (31477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 252.

231472 is an apocalyptic number.

It is an amenable number.

31472 is an abundant number, since it is smaller than the sum of its proper divisors (38464).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34968).

31472 is a wasteful number, since it uses less digits than its factorization.

31472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 31472 is about 177.4034948923. The cubic root of 31472 is about 31.5724376445.

Adding to 31472 its reverse (27413), we get a palindrome (58885).

The spelling of 31472 in words is "thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 281 562 1124 1967 2248 3934 4496 7868 15736 31472