Search a number
-
+
31983996 = 22311337719
BaseRepresentation
bin111101000000…
…0100101111100
32020011221210110
41322000211330
531141441441
63101310020
7535600542
oct172004574
966157713
1031983996
1117066060
12a865310
13681b055
144367d92
152c1bb16
hex1e8097c

31983996 has 48 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 9649920.

The previous prime is 31983983. The next prime is 31983997. The reversal of 31983996 is 69938913.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31983997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44125 + ... + 44843.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 231983996 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 31983996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

31983996 is an abundant number, since it is smaller than the sum of its proper divisors (49784964).

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

31983996 is a wasteful number, since it uses less digits than its factorization.

31983996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 31983996 is about 5655.4395054673. The cubic root of 31983996 is about 317.4272749711.

The spelling of 31983996 in words is "thirty-one million, nine hundred eighty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 719 1011 1348 1438 2022 2157 2876 3707 4044 4314 7414 7909 8628 11121 14828 15818 22242 23727 31636 44484 47454 94908 242303 484606 726909 969212 1453818 2665333 2907636 5330666 7995999 10661332 15991998 31983996