Search a number
-
+
5795629056 = 21134722331
BaseRepresentation
bin1010110010111001…
…00100100000000000
3112221220111110110000
411121130210200000
543332140112211
62355032240000
7263423014500
oct53134444000
915856443400
105795629056
112504532988
121158b40000
13714941109
143cda0da00
1523dc18656
hex159724800

5795629056 has 720 divisors, whose sum is σ = 21690789120. Its totient is φ = 1532805120.

The previous prime is 5795629043. The next prime is 5795629159. The reversal of 5795629056 is 6509265975.

It is a happy number.

5795629056 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 629 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×57956290562 = 67178632309502902272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5795628993 and 5795629011.

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 59 ways as a sum of consecutive naturals, for example, 186955761 + ... + 186955791.

It is an arithmetic number, because the mean of its divisors is an integer number (30126096).

Almost surely, 25795629056 is an apocalyptic number.

5795629056 is a gapful number since it is divisible by the number (56) 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 5795629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10845394560).

5795629056 is an abundant number, since it is smaller than the sum of its proper divisors (15895160064).

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

5795629056 is a wasteful number, since it uses less digits than its factorization.

5795629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 5795629056 is about 76129.0289968288. The cubic root of 5795629056 is about 1796.2503276223.

The spelling of 5795629056 in words is "five billion, seven hundred ninety-five million, six hundred twenty-nine thousand, fifty-six".