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5188842 = 2321731547
BaseRepresentation
bin10011110010110011101010
3100202121202100
4103302303222
52312020332
6303114230
762050551
oct23626352
910677670
105188842
112a244aa
1218a2976
1310c8a29
14990d98
156c767c
hex4f2cea

5188842 has 48 divisors (see below), whose sum is σ = 12310272. Its totient is φ = 1572480.

The previous prime is 5188829. The next prime is 5188849. The reversal of 5188842 is 2488815.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5188797 and 5188806.

It is not an unprimeable number, because it can be changed into a prime (5188849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9213 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (256464).

Almost surely, 25188842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155136).

5188842 is an abundant number, since it is smaller than the sum of its proper divisors (7121430).

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

5188842 is a wasteful number, since it uses less digits than its factorization.

5188842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 600 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 5188842 is about 2277.9029830087. The cubic root of 5188842 is about 173.1238157156.

The spelling of 5188842 in words is "five million, one hundred eighty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 547 558 1054 1094 1581 1641 3162 3282 4743 4923 9299 9486 9846 16957 18598 27897 33914 50871 55794 83691 101742 152613 167382 288269 305226 576538 864807 1729614 2594421 5188842