Search a number
-
+
2689255296 = 273371317503
BaseRepresentation
bin1010000001001010…
…1100011110000000
320221102022022202000
42200102230132000
521001422132141
61122504024000
7123433202310
oct24022543600
96842268660
102689255296
111160018342
12630762000
1333b1c3c30
141b7237440
1510b1615b6
hexa04ac780

2689255296 has 512 divisors, whose sum is σ = 10363852800. Its totient is φ = 666206208.

The previous prime is 2689255291. The next prime is 2689255297. The reversal of 2689255296 is 6925529862.

2689255296 is a `hidden beast` number, since 2 + 6 + 89 + 2 + 552 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689255291) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5346181 + ... + 5346683.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 22689255296 is an apocalyptic number.

2689255296 is a gapful number since it is divisible by the number (26) 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 2689255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181926400).

2689255296 is an abundant number, since it is smaller than the sum of its proper divisors (7674597504).

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

2689255296 is a wasteful number, since it uses less digits than its factorization.

2689255296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 545 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 2689255296 is about 51858.0301978392. The cubic root of 2689255296 is about 1390.6270648632.

The spelling of 2689255296 in words is "two billion, six hundred eighty-nine million, two hundred fifty-five thousand, two hundred ninety-six".