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5264850240 = 2632513229373
BaseRepresentation
bin1001110011100111…
…10011110101000000
3111120220202002210100
410321303303311000
541240300201430
62230232002400
7244316326416
oct47163636500
914526662710
105264850240
112261963a01
12102b230400
1365b9a0700
1437d3252b6
1520c320960
hex139cf3d40

5264850240 has 504 divisors, whose sum is σ = 20339593560. Its totient is φ = 1247920128.

The previous prime is 5264850223. The next prime is 5264850293. The reversal of 5264850240 is 420584625.

It is a happy number.

5264850240 is a `hidden beast` number, since 5 + 2 + 648 + 5 + 0 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2815788096 + 2449062144 = 53064^2 + 49488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5264850195 and 5264850204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14114694 + ... + 14115066.

Almost surely, 25264850240 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 5264850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169796780).

5264850240 is an abundant number, since it is smaller than the sum of its proper divisors (15074743320).

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

5264850240 is a wasteful number, since it uses less digits than its factorization.

5264850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5264850240 is about 72559.2877583566. The cubic root of 5264850240 is about 1739.6505045179.

The spelling of 5264850240 in words is "five billion, two hundred sixty-four million, eight hundred fifty thousand, two hundred forty".