Search a number
-
+
5806628352 = 29327315807
BaseRepresentation
bin1010110100001101…
…00001111000000000
3112222200012021122100
411122012201320000
543342444101402
62400104110400
7263615345430
oct53206417000
915880167570
105806628352
11250a765908
121160765400
13716cc2785
143d12742c0
1523eb8c71c
hex15a1a1e00

5806628352 has 240 divisors, whose sum is σ = 19773591552. Its totient is φ = 1605242880.

The previous prime is 5806628329. The next prime is 5806628371. The reversal of 5806628352 is 2538266085.

5806628352 is a `hidden beast` number, since 580 + 6 + 62 + 8 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5806628298 and 5806628307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997033 + ... + 1002839.

Almost surely, 25806628352 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 5806628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9886795776).

5806628352 is an abundant number, since it is smaller than the sum of its proper divisors (13966963200).

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

5806628352 is a wasteful number, since it uses less digits than its factorization.

5806628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5806628352 is about 76201.2358954893. The cubic root of 5806628352 is about 1797.3859537426.

The spelling of 5806628352 in words is "five billion, eight hundred six million, six hundred twenty-eight thousand, three hundred fifty-two".