Search a number
-
+
5243640000 = 26354371181
BaseRepresentation
bin1001110001000101…
…11001100011000000
3111112102211111210220
410320202321203000
541214332440000
62224153223040
7243641130114
oct47042714300
914472744726
105243640000
112250997385
121024101a80
13657485481
1437a5a3744
1520a5311a0
hex1388b98c0

5243640000 has 280 divisors, whose sum is σ = 17820333168. Its totient is φ = 1359360000.

The previous prime is 5243639903. The next prime is 5243640011. The reversal of 5243640000 is 463425.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4439410 + ... + 4440590.

Almost surely, 25243640000 is an apocalyptic number.

5243640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5243640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910166584).

5243640000 is an abundant number, since it is smaller than the sum of its proper divisors (12576693168).

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

5243640000 is a wasteful number, since it uses less digits than its factorization.

5243640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5243640000 is about 72412.9822614702. The cubic root of 5243640000 is about 1737.3112125161.

The spelling of 5243640000 in words is "five billion, two hundred forty-three million, six hundred forty thousand".