Search a number
-
+
5242536 = 2333131867
BaseRepresentation
bin10011111111111010101000
3100212100102000
4103333322220
52320230121
6304211000
762363235
oct23777250
910770360
105242536
112a60882
121909a60
1311172c0
149a678c
156d8526
hex4ffea8

5242536 has 64 divisors (see below), whose sum is σ = 15691200. Its totient is φ = 1612224.

The previous prime is 5242513. The next prime is 5242561. The reversal of 5242536 is 6352425.

It is a super-2 number, since 2×52425362 = 54968367422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875 + ... + 3741.

It is an arithmetic number, because the mean of its divisors is an integer number (245175).

Almost surely, 25242536 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 5242536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845600).

5242536 is an abundant number, since it is smaller than the sum of its proper divisors (10448664).

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

5242536 is a wasteful number, since it uses less digits than its factorization.

5242536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1885 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5242536 is about 2289.6584898190. The cubic root of 5242536 is about 173.7189279012.

It can be divided in two parts, 5242 and 536, that added together give a triangular number (5778 = T107).

The spelling of 5242536 in words is "five million, two hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1867 2808 3734 5601 7468 11202 14936 16803 22404 24271 33606 44808 48542 50409 67212 72813 97084 100818 134424 145626 194168 201636 218439 291252 403272 436878 582504 655317 873756 1310634 1747512 2621268 5242536