Search a number
-
+
5731956 = 2232891789
BaseRepresentation
bin10101110111011001110100
3101210012202200
4111313121310
52431410311
6322504500
766502146
oct25673164
911705680
105731956
11326555a
121b05130
131258cb9
14a92c96
15783556
hex577674

5731956 has 36 divisors (see below), whose sum is σ = 14660100. Its totient is φ = 1888128.

The previous prime is 5731951. The next prime is 5731963. The reversal of 5731956 is 6591375.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3481956 + 2250000 = 1866^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5731956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5731951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2310 + ... + 4098.

It is an arithmetic number, because the mean of its divisors is an integer number (407225).

Almost surely, 25731956 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 5731956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330050).

5731956 is an abundant number, since it is smaller than the sum of its proper divisors (8928144).

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

5731956 is a wasteful number, since it uses less digits than its factorization.

5731956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1883 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5731956 is about 2394.1503712173. The cubic root of 5731956 is about 178.9647985875.

It can be divided in two parts, 57319 and 56, that added together give a palindrome (57375).

The spelling of 5731956 in words is "five million, seven hundred thirty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 1789 3204 3578 5367 7156 10734 16101 21468 32202 64404 159221 318442 477663 636884 955326 1432989 1910652 2865978 5731956