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36744149 = 132217421
BaseRepresentation
bin1000110000101…
…0101111010101
32120010210111102
42030022233111
533401303044
63351315445
7624214541
oct214125725
976123442
1036744149
1119817472
121037bb85
1377c6900
144c46a21
15335c24e
hex230abd5

36744149 has 6 divisors (see below), whose sum is σ = 39788226. Its totient is φ = 33917520.

The previous prime is 36744139. The next prime is 36744161. The reversal of 36744149 is 94144763.

36744149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2146225 + 34597924 = 1465^2 + 5882^2 .

It is not a de Polignac number, because 36744149 - 220 = 35695573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36744139) 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 5 ways as a sum of consecutive naturals, for example, 108542 + ... + 108879.

It is an arithmetic number, because the mean of its divisors is an integer number (6631371).

Almost surely, 236744149 is an apocalyptic number.

It is an amenable number.

36744149 is a deficient number, since it is larger than the sum of its proper divisors (3044077).

36744149 is a wasteful number, since it uses less digits than its factorization.

36744149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217447 (or 217434 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 36744149 is about 6061.6952249350. The cubic root of 36744149 is about 332.4523428408.

The spelling of 36744149 in words is "thirty-six million, seven hundred forty-four thousand, one hundred forty-nine".

Divisors: 1 13 169 217421 2826473 36744149