Search a number
-
+
5212089792 = 263271327649
BaseRepresentation
bin1001101101010101…
…00010110111000000
3111110020110121001200
410312222202313000
541133243333132
62221105101200
7243106014030
oct46652426700
914406417050
105212089792
1122350a8228
121015627800
13650a89a00
1437630d8c0
1520789cd7c
hex136aa2dc0

5212089792 has 252 divisors, whose sum is σ = 18490539600. Its totient is φ = 1374437376.

The previous prime is 5212089791. The next prime is 5212089797. The reversal of 5212089792 is 2979802125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5212089791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677584 + ... + 685232.

Almost surely, 25212089792 is an apocalyptic number.

5212089792 is a gapful number since it is divisible by the number (52) 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 5212089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245269800).

5212089792 is an abundant number, since it is smaller than the sum of its proper divisors (13278449808).

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

5212089792 is a wasteful number, since it uses less digits than its factorization.

5212089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5212089792 is about 72194.8044668036. The cubic root of 5212089792 is about 1733.8198190034.

The spelling of 5212089792 in words is "five billion, two hundred twelve million, eighty-nine thousand, seven hundred ninety-two".