Search a number
-
+
68528592 = 24341121923
BaseRepresentation
bin1000001010110…
…10100111010000
311202221121120000
410011122213100
5120020403332
610444450000
71461324546
oct405324720
9152847500
1068528592
1135756600
121ab49900
1311274b82
14915bd96
156039b7c
hex415a9d0

68528592 has 300 divisors, whose sum is σ = 239463840. Its totient is φ = 18817920.

The previous prime is 68528503. The next prime is 68528597. The reversal of 68528592 is 29582586.

68528592 is a `hidden beast` number, since 6 + 8 + 52 + 8 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68528597) 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 59 ways as a sum of consecutive naturals, for example, 2979493 + ... + 2979515.

Almost surely, 268528592 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 68528592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731920).

68528592 is an abundant number, since it is smaller than the sum of its proper divisors (170935248).

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

68528592 is a wasteful number, since it uses less digits than its factorization.

68528592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 68528592 is about 8278.1998043053. The cubic root of 68528592 is about 409.2203944050.

The spelling of 68528592 in words is "sixty-eight million, five hundred twenty-eight thousand, five hundred ninety-two".