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5256239040 = 263451319821
BaseRepresentation
bin1001110010100101…
…11101011111000000
3111120022112121110000
410321102331133000
541231044122130
62225323240000
7244153203033
oct47122753700
914508477400
105256239040
112258012208
121028379000
13659c77020
1437c12301a
1520b6be260
hex1394bd7c0

5256239040 has 560 divisors, whose sum is σ = 21221212320. Its totient is φ = 1224253440.

The previous prime is 5256239017. The next prime is 5256239047. The reversal of 5256239040 is 409326525.

5256239040 is a `hidden beast` number, since 5 + 2 + 562 + 3 + 90 + 4 + 0 = 666.

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 = 5256238986 and 5256239004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256239047) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6401830 + ... + 6402650.

It is an arithmetic number, because the mean of its divisors is an integer number (37895022).

Almost surely, 25256239040 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 5256239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10610606160).

5256239040 is an abundant number, since it is smaller than the sum of its proper divisors (15964973280).

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

5256239040 is a wasteful number, since it uses less digits than its factorization.

5256239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5256239040 is about 72499.9244137537. The cubic root of 5256239040 is about 1738.7015282863.

The spelling of 5256239040 in words is "five billion, two hundred fifty-six million, two hundred thirty-nine thousand, forty".