Search a number
-
+
8055914880 = 2735131916987
BaseRepresentation
bin1111000000010101…
…11000000110000000
3202210102121212200210
413200022320012000
5112444303234010
63411214114120
7403430101206
oct74012700600
922712555623
108055914880
1134643990a2
121689aab940
139b4cbc850
14565ca1076
15322392b20
hex1e02b8180

8055914880 has 256 divisors, whose sum is σ = 29110636800. Its totient is φ = 1878515712.

The previous prime is 8055914879. The next prime is 8055914897. The reversal of 8055914880 is 884195508.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465747 + ... + 482733.

It is an arithmetic number, because the mean of its divisors is an integer number (113713425).

Almost surely, 28055914880 is an apocalyptic number.

8055914880 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 8055914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555318400).

8055914880 is an abundant number, since it is smaller than the sum of its proper divisors (21054721920).

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

8055914880 is a wasteful number, since it uses less digits than its factorization.

8055914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041 (or 17029 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The square root of 8055914880 is about 89754.7485094800. The cubic root of 8055914880 is about 2004.6487594790.

The spelling of 8055914880 in words is "eight billion, fifty-five million, nine hundred fourteen thousand, eight hundred eighty".