Search a number
-
+
85653342 = 2335772749
BaseRepresentation
bin1010001101011…
…11011101011110
312222011122022000
411012233131132
5133411401332
612255503130
72060020125
oct506573536
9188148260
1085653342
1144392695
1224827aa6
131498c668
14b538abc
1577bdb7c
hex51af75e

85653342 has 32 divisors (see below), whose sum is σ = 190740000. Its totient is φ = 28491264.

The previous prime is 85653331. The next prime is 85653397. The reversal of 85653342 is 24335658.

It is a happy number.

85653342 is a `hidden beast` number, since 85 + 6 + 533 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85653297 and 85653306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29784 + ... + 32532.

It is an arithmetic number, because the mean of its divisors is an integer number (5960625).

Almost surely, 285653342 is an apocalyptic number.

85653342 is an abundant number, since it is smaller than the sum of its proper divisors (105086658).

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

85653342 is a wasteful number, since it uses less digits than its factorization.

85653342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3331 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 85653342 is about 9254.9090757284. The cubic root of 85653342 is about 440.8066161229.

The spelling of 85653342 in words is "eighty-five million, six hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 577 1154 1731 2749 3462 5193 5498 8247 10386 15579 16494 24741 31158 49482 74223 148446 1586173 3172346 4758519 9517038 14275557 28551114 42826671 85653342