Search a number
-
+
5371956 = 2232372109
BaseRepresentation
bin10100011111100000110100
3101002220221100
4110133200310
52333400311
6311050100
763442452
oct24374064
911086840
105371956
11303a037
121970930
131161195
149db9d2
15711a56
hex51f834

5371956 has 54 divisors (see below), whose sum is σ = 14084070. Its totient is φ = 1726272.

The previous prime is 5371937. The next prime is 5371963. The reversal of 5371956 is 6591735.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3549456 + 1822500 = 1884^2 + 1350^2 .

It is a super-2 number, since 2×53719562 = 57715822531872, 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 5371956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49230 + ... + 49338.

Almost surely, 25371956 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 5371956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042035).

5371956 is an abundant number, since it is smaller than the sum of its proper divisors (8712114).

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

5371956 is a wasteful number, since it uses less digits than its factorization.

5371956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 151 counting only the distinct ones).

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

The square root of 5371956 is about 2317.7480449781. The cubic root of 5371956 is about 175.1368290426.

The spelling of 5371956 in words is "five million, three hundred seventy-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 109 111 148 218 222 327 333 436 444 654 666 981 1308 1332 1369 1962 2738 3924 4033 4107 5476 8066 8214 12099 12321 16132 16428 24198 24642 36297 48396 49284 72594 145188 149221 298442 447663 596884 895326 1342989 1790652 2685978 5371956