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36284325 = 35271161103
BaseRepresentation
bin1000101001101…
…0011110100101
32112021102201220
42022122132211
533242044300
63333410553
7620261130
oct212323645
975242656
1036284325
1119532a50
1210199a59
13769551c
144b67217
1532bada0
hex229a7a5

36284325 has 96 divisors (see below), whose sum is σ = 76756992. Its totient is φ = 14688000.

The previous prime is 36284299. The next prime is 36284327. The reversal of 36284325 is 52348263.

It is a happy number.

36284325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36284325 - 25 = 36284293 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36284327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 352224 + ... + 352326.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 236284325 is an apocalyptic number.

36284325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36284325 is an abundant number, since it is smaller than the sum of its proper divisors (40472667).

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

36284325 is a wasteful number, since it uses less digits than its factorization.

36284325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 36284325 is about 6023.6471510207. The cubic root of 36284325 is about 331.0597245910.

The spelling of 36284325 in words is "thirty-six million, two hundred eighty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 61 75 77 103 105 165 175 183 231 275 305 309 385 427 515 525 671 721 825 915 1133 1155 1281 1525 1545 1925 2013 2135 2163 2575 3355 3399 3605 4575 4697 5665 5775 6283 6405 7725 7931 10065 10675 10815 14091 16775 16995 18025 18849 23485 23793 28325 31415 32025 39655 43981 50325 54075 69113 70455 84975 94245 117425 118965 131943 157075 198275 207339 219905 345565 352275 471225 483791 594825 659715 1036695 1099525 1451373 1727825 2418955 3298575 5183475 7256865 12094775 36284325