Search a number
-
+
36285354 = 2337591627
BaseRepresentation
bin1000101001101…
…0101110101010
32112021111011000
42022122232222
533242112404
63333415430
7620264130
oct212325652
975244130
1036285354
11195337a6
121019a576
137695b31
144b67750
1532bb339
hex229abaa

36285354 has 64 divisors (see below), whose sum is σ = 93772800. Its totient is φ = 10185264.

The previous prime is 36285349. The next prime is 36285377. The reversal of 36285354 is 45358263.

It is a happy number.

36285354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21489 + ... + 23115.

It is an arithmetic number, because the mean of its divisors is an integer number (1465200).

Almost surely, 236285354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36285354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46886400).

36285354 is an abundant number, since it is smaller than the sum of its proper divisors (57487446).

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

36285354 is a wasteful number, since it uses less digits than its factorization.

36285354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

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

The square root of 36285354 is about 6023.7325637847. The cubic root of 36285354 is about 331.0628541080.

It can be divided in two parts, 36 and 285354, that added together give a triangular number (285390 = T755).

The spelling of 36285354 in words is "thirty-six million, two hundred eighty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 1627 2478 3186 3254 3717 4881 7434 9762 11151 11389 14643 22302 22778 29286 34167 43929 68334 87858 95993 102501 191986 205002 287979 307503 575958 615006 671951 863937 1343902 1727874 2015853 2591811 4031706 5183622 6047559 12095118 18142677 36285354