Search a number
-
+
31392032 = 257140143
BaseRepresentation
bin111011111000…
…0000100100000
32012001212202212
41313300010200
531014021112
63040501252
7530553650
oct167600440
965055685
1031392032
11167a1331
12a61a828
136671789
144252360
152b51522
hex1df0120

31392032 has 24 divisors (see below), whose sum is σ = 70632576. Its totient is φ = 13453632.

The previous prime is 31392017. The next prime is 31392073. The reversal of 31392032 is 23029313.

It is a junction number, because it is equal to n+sod(n) for n = 31391989 and 31392007.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69848 + ... + 70295.

It is an arithmetic number, because the mean of its divisors is an integer number (2943024).

Almost surely, 231392032 is an apocalyptic number.

31392032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31392032 is an abundant number, since it is smaller than the sum of its proper divisors (39240544).

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

31392032 is a wasteful number, since it uses less digits than its factorization.

31392032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140160 (or 140152 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 31392032 is about 5602.8592700513. The cubic root of 31392032 is about 315.4567389530.

The spelling of 31392032 in words is "thirty-one million, three hundred ninety-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 140143 280286 560572 981001 1121144 1962002 2242288 3924004 4484576 7848008 15696016 31392032