Search a number
-
+
5039418528 = 2532173133203
BaseRepresentation
bin1001011000101111…
…10110110010100000
3111000012112222121200
410230113312302200
540310042343103
62152020121200
7235611231204
oct45427666240
914005488550
105039418528
112156690801
12b87836200
13624080871
1435b402b04
151e76410a3
hex12c5f6ca0

5039418528 has 144 divisors (see below), whose sum is σ = 15663787776. Its totient is φ = 1529948160.

The previous prime is 5039418523. The next prime is 5039418539. The reversal of 5039418528 is 8258149305.

5039418528 is a `hidden beast` number, since 50 + 39 + 41 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5039418523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135175 + ... + 168377.

It is an arithmetic number, because the mean of its divisors is an integer number (108776304).

Almost surely, 25039418528 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 5039418528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831893888).

5039418528 is an abundant number, since it is smaller than the sum of its proper divisors (10624369248).

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

5039418528 is a wasteful number, since it uses less digits than its factorization.

5039418528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33267 (or 33256 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5039418528 is about 70988.8619996123. The cubic root of 5039418528 is about 1714.4578382410.

The spelling of 5039418528 in words is "five billion, thirty-nine million, four hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1488 1581 1632 2108 2232 2448 2976 3162 4216 4464 4743 4896 6324 8432 8928 9486 12648 16864 18972 25296 33203 37944 50592 66406 75888 99609 132812 151776 199218 265624 298827 398436 531248 564451 597654 796872 1029293 1062496 1128902 1195308 1593744 1693353 2058586 2257804 2390616 3087879 3187488 3386706 4117172 4515608 4781232 5080059 6175758 6773412 8234344 9031216 9263637 9562464 10160118 12351516 13546824 16468688 17497981 18062432 18527274 20320236 24703032 27093648 32937376 34995962 37054548 40640472 49406064 52493943 54187296 69991924 74109096 81280944 98812128 104987886 139983848 148218192 157481829 162561888 209975772 279967696 296436384 314963658 419951544 559935392 629927316 839903088 1259854632 1679806176 2519709264 5039418528