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5042089440 = 253252326619
BaseRepresentation
bin1001011001000100…
…00010110111100000
3111000101120200102100
410230202002313200
540311233330230
62152153250400
7235643024133
oct45442026740
914011520370
105042089440
112158145473
12b88703a00
136247a749b
1435b8da21a
151e79bc660
hex12c882de0

5042089440 has 216 divisors, whose sum is σ = 17989466040. Its totient is φ = 1285903872.

The previous prime is 5042089421. The next prime is 5042089441. The reversal of 5042089440 is 449802405.

5042089440 is a `hidden beast` number, since 5 + 0 + 4 + 208 + 9 + 440 = 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 = 5042089395 and 5042089404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042089441) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 758451 + ... + 765069.

It is an arithmetic number, because the mean of its divisors is an integer number (83284565).

Almost surely, 25042089440 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 5042089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994733020).

5042089440 is an abundant number, since it is smaller than the sum of its proper divisors (12947376600).

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

5042089440 is a wasteful number, since it uses less digits than its factorization.

5042089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5042089440 is about 71007.6716982046. The cubic root of 5042089440 is about 1714.7606745857.

The spelling of 5042089440 in words is "five billion, forty-two million, eighty-nine thousand, four hundred forty".