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5255901504 = 26327337719
BaseRepresentation
bin1001110010100011…
…01011000101000000
3111120021220110102200
410321101223011000
541231002322004
62225312113200
7244150266000
oct47121530500
914507813380
105255901504
112257901657
121028235800
13659b894b9
1437c076000
1520b654239
hex13946b140

5255901504 has 336 divisors, whose sum is σ = 18068544000. Its totient is φ = 1459067904.

The previous prime is 5255901493. The next prime is 5255901517. The reversal of 5255901504 is 4051095525.

5255901504 is a `hidden beast` number, since 52 + 5 + 590 + 15 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7309657 + ... + 7310375.

Almost surely, 25255901504 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 5255901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272000).

5255901504 is an abundant number, since it is smaller than the sum of its proper divisors (12812642496).

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

5255901504 is a wasteful number, since it uses less digits than its factorization.

5255901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 5255901504 is about 72497.5965394716. The cubic root of 5255901504 is about 1738.6643098546.

The spelling of 5255901504 in words is "five billion, two hundred fifty-five million, nine hundred one thousand, five hundred four".