Search a number
-
+
31719456 = 2532241457
BaseRepresentation
bin111100100000…
…0000000100000
32012200111220200
41321000000200
531110010311
63051505200
7533416356
oct171000040
965614820
1031719456
11169a532a
12a758200
136757812
1442d97d6
152bb8556
hex1e40020

31719456 has 72 divisors (see below), whose sum is σ = 90774684. Its totient is φ = 10506240.

The previous prime is 31719437. The next prime is 31719487. The reversal of 31719456 is 65491713.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 3459600 = 5316^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×317194562 = 2012247777871872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31719456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69180 + ... + 69636.

Almost surely, 231719456 is an apocalyptic number.

31719456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31719456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45387342).

31719456 is an abundant number, since it is smaller than the sum of its proper divisors (59055228).

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

31719456 is a wasteful number, since it uses less digits than its factorization.

31719456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 31719456 is about 5632.0028409084. The cubic root of 31719456 is about 316.5497028178.

The spelling of 31719456 in words is "thirty-one million, seven hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 457 482 723 914 964 1371 1446 1828 1928 2169 2742 2892 3656 3856 4113 4338 5484 5784 7312 7712 8226 8676 10968 11568 14624 16452 17352 21936 23136 32904 34704 43872 65808 69408 110137 131616 220274 330411 440548 660822 881096 991233 1321644 1762192 1982466 2643288 3524384 3964932 5286576 7929864 10573152 15859728 31719456