Search a number
-
+
8052424704 = 21433109167
BaseRepresentation
bin1110111111111011…
…00100000000000000
3202210012001120002000
413133331210000000
5112442410042304
63411011224000
7403355323602
oct73775440000
922705046060
108052424704
113462424955
1216888a8000
139b436a05c
14565633172
15321e03939
hex1dff64000

8052424704 has 240 divisors, whose sum is σ = 24221366400. Its totient is φ = 2643591168.

The previous prime is 8052424661. The next prime is 8052424717. The reversal of 8052424704 is 4074242508.

It is a super-2 number, since 2×80524247042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48218029 + ... + 48218195.

It is an arithmetic number, because the mean of its divisors is an integer number (100922360).

Almost surely, 28052424704 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 8052424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110683200).

8052424704 is an abundant number, since it is smaller than the sum of its proper divisors (16168941696).

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

8052424704 is a wasteful number, since it uses less digits than its factorization.

8052424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 8052424704 is about 89735.3035543983. The cubic root of 8052424704 is about 2004.3592170436.

The spelling of 8052424704 in words is "eight billion, fifty-two million, four hundred twenty-four thousand, seven hundred four".