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5308278624 = 253511229271
BaseRepresentation
bin1001111000110010…
…11110011101100000
3111200221110111100000
410330121132131200
541332404403444
62234422500000
7245354423655
oct47431363540
914627414300
105308278624
112284426330
121041894600
1366799788c
14384dcbc2c
1521104d469
hex13c65e760

5308278624 has 288 divisors, whose sum is σ = 17215511040. Its totient is φ = 1595635200.

The previous prime is 5308278623. The next prime is 5308278631. The reversal of 5308278624 is 4268728035.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5308278624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308278623) 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 47 ways as a sum of consecutive naturals, for example, 19587609 + ... + 19587879.

It is an arithmetic number, because the mean of its divisors is an integer number (59776080).

Almost surely, 25308278624 is an apocalyptic number.

5308278624 is a gapful number since it is divisible by the number (54) 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 5308278624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607755520).

5308278624 is an abundant number, since it is smaller than the sum of its proper divisors (11907232416).

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

5308278624 is a wasteful number, since it uses less digits than its factorization.

5308278624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5308278624 is about 72857.9345301526. The cubic root of 5308278624 is about 1744.4207209591.

The spelling of 5308278624 in words is "five billion, three hundred eight million, two hundred seventy-eight thousand, six hundred twenty-four".