Search a number
-
+
5996251296 = 2532767103431
BaseRepresentation
bin1011001010110011…
…11000100010100000
3120110220000010102100
411211121320202200
544240020020141
62431000250400
7301410203130
oct54531704240
916426003370
105996251296
1125a7800392
1211b4170a00
137473856b9
1440c514ac0
152516470b6
hex1656788a0

5996251296 has 288 divisors, whose sum is σ = 20017041408. Its totient is φ = 1667381760.

The previous prime is 5996251277. The next prime is 5996251307. The reversal of 5996251296 is 6921526995.

5996251296 is a `hidden beast` number, since 5 + 9 + 9 + 625 + 1 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 13912201 + ... + 13912631.

It is an arithmetic number, because the mean of its divisors is an integer number (69503616).

Almost surely, 25996251296 is an apocalyptic number.

5996251296 is a gapful number since it is divisible by the number (56) 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 5996251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008520704).

5996251296 is an abundant number, since it is smaller than the sum of its proper divisors (14020790112).

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

5996251296 is a wasteful number, since it uses less digits than its factorization.

5996251296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 5996251296 is about 77435.4653631009. The cubic root of 5996251296 is about 1816.7420780337.

The spelling of 5996251296 in words is "five billion, nine hundred ninety-six million, two hundred fifty-one thousand, two hundred ninety-six".