Search a number
-
+
85194768 = 2431132139
BaseRepresentation
bin1010001001111…
…11100000010000
312221022100020210
411010333200100
5133302213033
612242004120
72053100151
oct504774020
9187270223
1085194768
11440aa0aa
1224646640
131485ba09
14b459928
15772cd63
hex513f810

85194768 has 60 divisors (see below), whose sum is σ = 223648880. Its totient is φ = 27944448.

The previous prime is 85194763. The next prime is 85194787. The reversal of 85194768 is 86749158.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85194763) 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 11 ways as a sum of consecutive naturals, for example, 612843 + ... + 612981.

Almost surely, 285194768 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 85194768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111824440).

85194768 is an abundant number, since it is smaller than the sum of its proper divisors (138454112).

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

85194768 is a wasteful number, since it uses less digits than its factorization.

85194768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 257 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 85194768 is about 9230.1011912113. The cubic root of 85194768 is about 440.0185391638.

The spelling of 85194768 in words is "eighty-five million, one hundred ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 139 226 278 339 417 452 556 678 834 904 1112 1356 1668 1808 2224 2712 3336 5424 6672 12769 15707 25538 31414 38307 47121 51076 62828 76614 94242 102152 125656 153228 188484 204304 251312 306456 376968 612912 753936 1774891 3549782 5324673 7099564 10649346 14199128 21298692 28398256 42597384 85194768