Search a number
-
+
36042641 is a prime number
BaseRepresentation
bin1000100101111…
…1011110010001
32111211011012122
42021133132101
533211331031
63324304025
7615233405
oct211373621
974734178
1036042641
1119388408
12100a2015
13760c50b
144b03105
15326e47b
hex225f791

36042641 has 2 divisors, whose sum is σ = 36042642. Its totient is φ = 36042640.

The previous prime is 36042631. The next prime is 36042659. The reversal of 36042641 is 14624063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33686416 + 2356225 = 5804^2 + 1535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36042641 is a prime.

It is equal to p2206745 and since 36042641 and 2206745 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36042641.

It is not a weakly prime, because it can be changed into another prime (36042631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18021320 + 18021321.

It is an arithmetic number, because the mean of its divisors is an integer number (18021321).

Almost surely, 236042641 is an apocalyptic number.

It is an amenable number.

36042641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36042641 is an equidigital number, since it uses as much as digits as its factorization.

36042641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 36042641 is about 6003.5523650585. The cubic root of 36042641 is about 330.3230414877.

The spelling of 36042641 in words is "thirty-six million, forty-two thousand, six hundred forty-one".