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36825841 = 133776561
BaseRepresentation
bin1000110001111…
…0101011110001
32120021221120001
42030132223301
533411411331
63353150001
7625004653
oct214365361
976257501
1036825841
1119872888
12103bb301
137824b50
144c686d3
153376561
hex231eaf1

36825841 has 8 divisors (see below), whose sum is σ = 40730984. Its totient is φ = 33073920.

The previous prime is 36825827. The next prime is 36825847. The reversal of 36825841 is 14852863.

It is a happy number.

36825841 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 6355441 + 30470400 = 2521^2 + 5520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36825841 - 27 = 36825713 is a prime.

It is a super-2 number, since 2×368258412 = 2712285130714562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36825841.

It is not an unprimeable number, because it can be changed into a prime (36825847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37800 + ... + 38761.

It is an arithmetic number, because the mean of its divisors is an integer number (5091373).

Almost surely, 236825841 is an apocalyptic number.

It is an amenable number.

36825841 is a deficient number, since it is larger than the sum of its proper divisors (3905143).

36825841 is a wasteful number, since it uses less digits than its factorization.

36825841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76611.

The product of its digits is 46080, while the sum is 37.

The square root of 36825841 is about 6068.4298628228. The cubic root of 36825841 is about 332.6985370908.

The spelling of 36825841 in words is "thirty-six million, eight hundred twenty-five thousand, eight hundred forty-one".

Divisors: 1 13 37 481 76561 995293 2832757 36825841