Search a number
-
+
5336010304 = 262323972
BaseRepresentation
bin1001111100000110…
…10000111001000000
3111202212122102001021
410332003100321000
541412004312204
62241253115224
7246142224232
oct47603207100
914685572037
105336010304
112299047579
12104b028b14
13670657261
1438896a252
152136ca154
hex13e0d0e40

5336010304 has 63 divisors (see below), whose sum is σ = 11096989617. Its totient is φ = 2545576704.

The previous prime is 5336010301. The next prime is 5336010347. The reversal of 5336010304 is 4030106335.

The square root of 5336010304 is 73048.

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., 3576040000 + 1759970304 = 59800^2 + 41952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5336010301) 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 8 ways as a sum of consecutive naturals, for example, 13440634 + ... + 13441030.

Almost surely, 25336010304 is an apocalyptic number.

5336010304 is the 73048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5336010304

5336010304 is an abundant number, since it is smaller than the sum of its proper divisors (5760979313).

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

5336010304 is an frugal number, since it uses more digits than its factorization.

5336010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The cubic root of 5336010304 is about 1747.4531992381.

Multiplying 5336010304 by its sum of digits (25), we get a square (133400257600 = 3652402).

Adding to 5336010304 its reverse (4030106335), we get a palindrome (9366116639).

The spelling of 5336010304 in words is "five billion, three hundred thirty-six million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 397 529 736 794 1058 1472 1588 2116 3176 4232 6352 8464 9131 12704 16928 18262 25408 33856 36524 73048 146096 157609 210013 292192 315218 420026 584384 630436 840052 1260872 1680104 2521744 3360208 3625007 5043488 6720416 7250014 10086976 13440832 14500028 29000056 58000112 83375161 116000224 166750322 232000448 333500644 667001288 1334002576 2668005152 5336010304