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36082746 = 234747677
BaseRepresentation
bin1000100110100…
…1010000111010
32111220012020000
42021221100322
533214121441
63325213430
7615461340
oct211512072
974805200
1036082746
1119405557
1210101276
13762484b
144b13990
15327b2b6
hex226943a

36082746 has 80 divisors (see below), whose sum is σ = 94507776. Its totient is φ = 10075104.

The previous prime is 36082741. The next prime is 36082751. The reversal of 36082746 is 64728063.

36082746 is a `hidden beast` number, since 3 + 608 + 2 + 7 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (36082741) and next prime (36082751).

It is a self number, because there is not a number n which added to its sum of digits gives 36082746.

It is not an unprimeable number, because it can be changed into a prime (36082741) 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 39 ways as a sum of consecutive naturals, for example, 52960 + ... + 53636.

Almost surely, 236082746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36082746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47253888).

36082746 is an abundant number, since it is smaller than the sum of its proper divisors (58425030).

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

36082746 is a wasteful number, since it uses less digits than its factorization.

36082746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36082746 is about 6006.8915422205. The cubic root of 36082746 is about 330.4455139691.

The spelling of 36082746 in words is "thirty-six million, eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 282 329 378 423 567 658 677 846 987 1134 1269 1354 1974 2031 2538 2961 3807 4062 4739 5922 6093 7614 8883 9478 12186 14217 17766 18279 26649 28434 31819 36558 42651 53298 54837 63638 85302 95457 109674 127953 190914 222733 255906 286371 383859 445466 572742 668199 767718 859113 1336398 1718226 2004597 2577339 4009194 5154678 6013791 12027582 18041373 36082746