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8040046080 = 293511195009
BaseRepresentation
bin1110111110011100…
…10101111000000000
3202202022202122210110
413133032111320000
5112431222433310
63405450031320
7403145156403
oct73716257000
922668678713
108040046080
11345643a690
121684718540
139b1924921
14563b2dd3a
15320caad20
hex1df395e00

8040046080 has 320 divisors, whose sum is σ = 29521324800. Its totient is φ = 1846149120.

The previous prime is 8040046057. The next prime is 8040046093. The reversal of 8040046080 is 806400408.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1602616 + ... + 1607624.

It is an arithmetic number, because the mean of its divisors is an integer number (92254140).

Almost surely, 28040046080 is an apocalyptic number.

8040046080 is a gapful number since it is divisible by the number (80) 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 8040046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760662400).

8040046080 is an abundant number, since it is smaller than the sum of its proper divisors (21481278720).

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

8040046080 is a wasteful number, since it uses less digits than its factorization.

8040046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8040046080 is about 89666.3040389198. The cubic root of 8040046080 is about 2003.3316204044.

Adding to 8040046080 its reverse (806400408), we get a palindrome (8846446488).

The spelling of 8040046080 in words is "eight billion, forty million, forty-six thousand, eighty".