Search a number
85821696 = 28321932
BaseRepresentation
bin1010001110110…
…00100100000000
312222111012020100
411013120210000
5133432243241
612303242400
72061321012
oct507304400
9188435210
1085821696
1144498124
12248a9400
1314a1b18c
14b5801b2
1578039b6
hex51d8900

85821696 has 81 divisors (see below), whose sum is σ = 248733849. Its totient is φ = 28459008.

The previous prime is 85821691. The next prime is 85821709. The reversal of 85821696 is 69612858.

The square root of 85821696 is 9264.

It is a perfect power (a square), and thus also a powerful number.

85821696 is a `hidden beast` number, since 8 + 582 + 1 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20793600 + 65028096 = 4560^2 + 8064^2 .

It is not an unprimeable number, because it can be changed into a prime (85821691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 444576 + ... + 444768.

Almost surely, 285821696 is an apocalyptic number.

85821696 is the 9264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85821696

85821696 is an abundant number, since it is smaller than the sum of its proper divisors (162912153).

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

85821696 is an equidigital number, since it uses as much as digits as its factorization.

85821696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 198 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The cubic root of 85821696 is about 441.0952329541.

The spelling of 85821696 in words is "eighty-five million, eight hundred twenty-one thousand, six hundred ninety-six".