Search a number
-
+
5004338742 = 2321331689873
BaseRepresentation
bin1001010100100100…
…00010011000110110
3110220202112202012100
410222102002120312
540222102314432
62144324202530
7235004114604
oct45222023066
913822482170
105004338742
112138900847
12b77b39446
13619a1a6b0
143568b0874
151e451207c
hex12a482636

5004338742 has 48 divisors (see below), whose sum is σ = 12053478528. Its totient is φ = 1490123520.

The previous prime is 5004338719. The next prime is 5004338749. The reversal of 5004338742 is 2478334005.

It is a happy number.

5004338742 is a `hidden beast` number, since 500 + 4 + 33 + 87 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5004338697 and 5004338706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004338749) 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, 337683 + ... + 352190.

It is an arithmetic number, because the mean of its divisors is an integer number (251114136).

Almost surely, 25004338742 is an apocalyptic number.

5004338742 is an abundant number, since it is smaller than the sum of its proper divisors (7049139786).

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

5004338742 is a wasteful number, since it uses less digits than its factorization.

5004338742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689925 (or 689922 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5004338742 is about 70741.3510049108. The cubic root of 5004338742 is about 1710.4704133106.

The spelling of 5004338742 in words is "five billion, four million, three hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 689873 1379746 2069619 4139238 6208857 8968349 12417714 17936698 21386063 26905047 42772126 53810094 64158189 80715141 128316378 161430282 192474567 278018819 384949134 556037638 834056457 1668112914 2502169371 5004338742