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36082836 = 22329710333
BaseRepresentation
bin1000100110100…
…1010010010100
32111220012100100
42021221102110
533214122321
63325214100
7615461526
oct211512224
974805310
1036082836
1119405629
1210101330
1376248ba
144b13a16
15327b326
hex2269494

36082836 has 36 divisors (see below), whose sum is σ = 92158612. Its totient is φ = 11902464.

The previous prime is 36082831. The next prime is 36082841. The reversal of 36082836 is 63828063.

It is an interprime number because it is at equal distance from previous prime (36082831) and next prime (36082841).

It can be written as a sum of positive squares in 2 ways, for example, as 21566736 + 14516100 = 4644^2 + 3810^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×360828363 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36082836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36082831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1675 + ... + 8658.

Almost surely, 236082836 is an apocalyptic number.

36082836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36082836 is an abundant number, since it is smaller than the sum of its proper divisors (56075776).

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

36082836 is a wasteful number, since it uses less digits than its factorization.

36082836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36082836 is about 6006.8990336113. The cubic root of 36082836 is about 330.4457887086.

The spelling of 36082836 in words is "thirty-six million, eighty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 10333 20666 30999 41332 61998 92997 123996 185994 371988 1002301 2004602 3006903 4009204 6013806 9020709 12027612 18041418 36082836