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5793325824 = 28311131729107
BaseRepresentation
bin1010110010100111…
…10010001100000000
3112221202011110000010
411121103302030000
543331042411244
62354511024520
7263364312516
oct53123621400
915852143003
105793325824
1125031aa490
12115820b140
13714315960
143cd5b04b6
1523d910eb9
hex1594f2300

5793325824 has 576 divisors, whose sum is σ = 20026621440. Its totient is φ = 1458831360.

The previous prime is 5793325781. The next prime is 5793325829. The reversal of 5793325824 is 4285233975.

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

It is not an unprimeable number, because it can be changed into a prime (5793325829) 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 63 ways as a sum of consecutive naturals, for example, 54143179 + ... + 54143285.

It is an arithmetic number, because the mean of its divisors is an integer number (34768440).

Almost surely, 25793325824 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 5793325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013310720).

5793325824 is an abundant number, since it is smaller than the sum of its proper divisors (14233295616).

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

5793325824 is a wasteful number, since it uses less digits than its factorization.

5793325824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 5793325824 is about 76113.9003336447. The cubic root of 5793325824 is about 1796.0123477375.

The spelling of 5793325824 in words is "five billion, seven hundred ninety-three million, three hundred twenty-five thousand, eight hundred twenty-four".