Search a number
-
+
5338640356 = 22721723072
BaseRepresentation
bin1001111100011010…
…10010111111100100
3111210001121000210121
410332031102333210
541413142442411
62241425331324
7246203460100
oct47615227744
914701530717
105338640356
11229a583575
12104ba96b44
136710683ba
14389052900
15213a49571
hex13e352fe4

5338640356 has 81 divisors (see below), whose sum is σ = 11582570601. Its totient is φ = 2146386816.

The previous prime is 5338640341. The next prime is 5338640369. The reversal of 5338640356 is 6530468335.

The square root of 5338640356 is 73066.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4156380900 + 1182259456 = 64470^2 + 34384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17389555 + ... + 17389861.

Almost surely, 25338640356 is an apocalyptic number.

5338640356 is the 73066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338640356

5338640356 is an abundant number, since it is smaller than the sum of its proper divisors (6243930245).

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

5338640356 is a wasteful number, since it uses less digits than its factorization.

5338640356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The cubic root of 5338640356 is about 1747.7402512764.

The spelling of 5338640356 in words is "five billion, three hundred thirty-eight million, six hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 307 476 578 614 833 1156 1228 1666 2023 2149 3332 4046 4298 5219 8092 8596 10438 14161 15043 20876 28322 30086 36533 56644 60172 73066 88723 94249 146132 177446 188498 255731 354892 376996 511462 621061 659743 1022924 1242122 1319486 1602233 2484244 2638972 3204466 4347427 4618201 6408932 8694854 9236402 11215631 17389708 18472804 22431262 27237961 44862524 54475922 78509417 108951844 157018834 190665727 314037668 381331454 762662908 1334660089 2669320178 5338640356