Search a number
-
+
5265792000 = 21032537653
BaseRepresentation
bin1001110011101110…
…11001110000000000
3111120222111221122100
410321313121300000
541241020321000
62230304110400
7244330331160
oct47167316000
914528457570
105265792000
112262447517
12102b605400
1365bc40271
1437d4cc5a0
1520c459a00
hex139dd9c00

5265792000 has 528 divisors, whose sum is σ = 21719685312. Its totient is φ = 1201766400.

The previous prime is 5265791989. The next prime is 5265792047. The reversal of 5265792000 is 2975625.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063674 + ... + 8064326.

Almost surely, 25265792000 is an apocalyptic number.

5265792000 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 5265792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859842656).

5265792000 is an abundant number, since it is smaller than the sum of its proper divisors (16453893312).

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

5265792000 is a wasteful number, since it uses less digits than its factorization.

5265792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5265792000 is about 72565.7770577839. Note that the first 3 decimals coincide. The cubic root of 5265792000 is about 1739.7542260869.

The spelling of 5265792000 in words is "five billion, two hundred sixty-five million, seven hundred ninety-two thousand".