Search a number
-
+
38984596024 = 231138344111
BaseRepresentation
bin100100010011101010…
…011011101000111000
310201121220101200002211
4210103222123220320
51114320024033044
625524223104504
72550034412233
oct442352335070
9121556350084
1038984596024
1115595874000
12767ba42134
1338a38b0bca
141c5b7b041a
1510327b1634
hex913a9ba38

38984596024 has 64 divisors (see below), whose sum is σ = 81370759680. Its totient is φ = 17506376800.

The previous prime is 38984596019. The next prime is 38984596037. The reversal of 38984596024 is 42069548983.

It is a self number, because there is not a number n which added to its sum of digits gives 38984596024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861729 + ... + 905839.

It is an arithmetic number, because the mean of its divisors is an integer number (1271418120).

Almost surely, 238984596024 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 38984596024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40685379840).

38984596024 is an abundant number, since it is smaller than the sum of its proper divisors (42386163656).

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

38984596024 is a wasteful number, since it uses less digits than its factorization.

38984596024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44233 (or 44207 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 38984596024 in words is "thirty-eight billion, nine hundred eighty-four million, five hundred ninety-six thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 83 88 121 166 242 332 484 664 913 968 1331 1826 2662 3652 5324 7304 10043 10648 20086 40172 44111 80344 88222 110473 176444 220946 352888 441892 485221 883784 970442 1940884 3661213 3881768 5337431 7322426 10674862 14644852 21349724 29289704 40273343 42699448 58711741 80546686 117423482 161093372 234846964 322186744 443006773 469693928 886013546 1772027092 3544054184 4873074503 9746149006 19492298012 38984596024