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5137956 = 223241592
BaseRepresentation
bin10011100110011000100100
3100200000221200
4103212120210
52303403311
6302042500
761446315
oct23463044
910600850
105137956
11299a24a
121879430
1310ab815
1497a60c
156b7556
hex4e6624

5137956 has 54 divisors (see below), whose sum is σ = 13533702. Its totient is φ = 1642560.

The previous prime is 5137943. The next prime is 5137963. The reversal of 5137956 is 6597315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3132900 + 2005056 = 1770^2 + 1416^2 .

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

Its product of digits (28350) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 5137956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87055 + ... + 87113.

Almost surely, 25137956 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 5137956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766851).

5137956 is an abundant number, since it is smaller than the sum of its proper divisors (8395746).

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

5137956 is a wasteful number, since it uses less digits than its factorization.

5137956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 105 counting only the distinct ones).

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

The square root of 5137956 is about 2266.7059800512. The cubic root of 5137956 is about 172.5560246505.

The spelling of 5137956 in words is "five million, one hundred thirty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 59 82 118 123 164 177 236 246 354 369 492 531 708 738 1062 1476 2124 2419 3481 4838 6962 7257 9676 10443 13924 14514 20886 21771 29028 31329 41772 43542 62658 87084 125316 142721 285442 428163 570884 856326 1284489 1712652 2568978 5137956