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5624426808 = 23347111322329
BaseRepresentation
bin1010011110011110…
…11111000100111000
3112111222100111010000
411033033133010320
543004323124213
62330034553000
7256243560540
oct51717370470
915458314100
105624426808
11242692a120
12110b738760
136b832a800
143b4da6320
1522db9bc73
hex14f3df138

5624426808 has 960 divisors, whose sum is σ = 22957862400. Its totient is φ = 1245404160.

The previous prime is 5624426803. The next prime is 5624426827. The reversal of 5624426808 is 8086244265.

5624426808 is a `hidden beast` number, since 562 + 4 + 4 + 2 + 6 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5624426803) 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 239 ways as a sum of consecutive naturals, for example, 193945738 + ... + 193945766.

It is an arithmetic number, because the mean of its divisors is an integer number (23914440).

Almost surely, 25624426808 is an apocalyptic number.

5624426808 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 5624426808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478931200).

5624426808 is an abundant number, since it is smaller than the sum of its proper divisors (17333435592).

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

5624426808 is a wasteful number, since it uses less digits than its factorization.

5624426808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5624426808 is about 74996.1786226472. The cubic root of 5624426808 is about 1778.3862418142.

The spelling of 5624426808 in words is "five billion, six hundred twenty-four million, four hundred twenty-six thousand, eight hundred eight".