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36318112 = 253121181
BaseRepresentation
bin1000101010001…
…0101110100000
32112100011002021
42022202232200
533244134422
63334231224
7620461465
oct212425640
975304067
1036318112
1119556376
12101b5514
1376a7a0c
144b7566c
1532c5dc7
hex22a2ba0

36318112 has 36 divisors (see below), whose sum is σ = 73944738. Its totient is φ = 17558400.

The previous prime is 36318089. The next prime is 36318131. The reversal of 36318112 is 21181363.

It can be written as a sum of positive squares in only one way, i.e., 23386896 + 12931216 = 4836^2 + 3596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30162 + ... + 31342.

Almost surely, 236318112 is an apocalyptic number.

36318112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36318112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36972369).

36318112 is an abundant number, since it is smaller than the sum of its proper divisors (37626626).

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

36318112 is a wasteful number, since it uses less digits than its factorization.

36318112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1214 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 36318112 is about 6026.4510285905. The cubic root of 36318112 is about 331.1624507206.

Adding to 36318112 its reverse (21181363), we get a palindrome (57499475).

The spelling of 36318112 in words is "thirty-six million, three hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1181 1922 2362 3844 4724 7688 9448 15376 18896 30752 36611 37792 73222 146444 292888 585776 1134941 1171552 2269882 4539764 9079528 18159056 36318112