Search a number
-
+
5296398240 = 253572673361
BaseRepresentation
bin1001110111011000…
…01001111110100000
3111200010002220111210
410323230021332200
541321334220430
62233320110120
7245151433200
oct47354117640
914603086453
105296398240
112278751431
121039905340
13665398173
143835b8400
1520eea32b0
hex13bb09fa0

5296398240 has 288 divisors, whose sum is σ = 19703041344. Its totient is φ = 1192181760.

The previous prime is 5296398227. The next prime is 5296398269. The reversal of 5296398240 is 428936925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5296398240.

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 47 ways as a sum of consecutive naturals, for example, 1574160 + ... + 1577520.

It is an arithmetic number, because the mean of its divisors is an integer number (68413338).

Almost surely, 25296398240 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 5296398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9851520672).

5296398240 is an abundant number, since it is smaller than the sum of its proper divisors (14406643104).

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

5296398240 is a wasteful number, since it uses less digits than its factorization.

5296398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 5296398240 is about 72776.3576994617. The cubic root of 5296398240 is about 1743.1183610209.

The spelling of 5296398240 in words is "five billion, two hundred ninety-six million, three hundred ninety-eight thousand, two hundred forty".