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5298855408 = 2434711291831
BaseRepresentation
bin1001110111101011…
…00001110111110000
3111200021201202010000
410323311201313300
541323001333113
62233444510000
7245211346020
oct47365416760
914607652100
105298855408
11227a07a550
12103a6ab300
13665a48702
14383a57a80
152102db373
hex13bd61df0

5298855408 has 400 divisors, whose sum is σ = 19790876160. Its totient is φ = 1328140800.

The previous prime is 5298855407. The next prime is 5298855461. The reversal of 5298855408 is 8045588925.

It is a happy number.

5298855408 is a `hidden beast` number, since 5 + 2 + 9 + 88 + 554 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5298855403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893053 + ... + 2894883.

Almost surely, 25298855408 is an apocalyptic number.

5298855408 is a gapful number since it is divisible by the number (58) 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 5298855408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895438080).

5298855408 is an abundant number, since it is smaller than the sum of its proper divisors (14492020752).

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

5298855408 is a wasteful number, since it uses less digits than its factorization.

5298855408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The square root of 5298855408 is about 72793.2373782071. The cubic root of 5298855408 is about 1743.3878820723.

The spelling of 5298855408 in words is "five billion, two hundred ninety-eight million, eight hundred fifty-five thousand, four hundred eight".