Search a number
-
+
36978561 = 3220272
BaseRepresentation
bin1000110100001…
…1111110000001
32120120201001100
42031003332001
533431303221
63400325013
7626212134
oct215037601
976521040
1036978561
11199675a4
1210473769
137879509
144ca821b
1533a6926
hex2343f81

36978561 has 9 divisors (see below), whose sum is σ = 53439841. Its totient is φ = 24640212.

The previous prime is 36978559. The next prime is 36978563. The reversal of 36978561 is 16587963.

It is a happy number.

The square root of 36978561 is 6081.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (36978559) and next prime (36978563).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 36978561 - 21 = 36978559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36978563) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17230 + ... + 19256.

Almost surely, 236978561 is an apocalyptic number.

36978561 is the 6081-st square number.

36978561 is the 3041-st centered octagonal number.

It is an amenable number.

36978561 is a deficient number, since it is larger than the sum of its proper divisors (16461280).

36978561 is an frugal number, since it uses more digits than its factorization.

36978561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 2030 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 36978561 is about 333.1578128161.

The spelling of 36978561 in words is "thirty-six million, nine hundred seventy-eight thousand, five hundred sixty-one".

Divisors: 1 3 9 2027 6081 18243 4108729 12326187 36978561