Search a number
-
+
54157633 is a prime number
BaseRepresentation
bin1100111010011…
…0000101000001
310202220111022021
43032212011001
5102331021013
65212441441
71225221655
oct316460501
9122814267
1054157633
1128630482
1216179281
13b2b294a
14729aa65
154b4ba8d
hex33a6141

54157633 has 2 divisors, whose sum is σ = 54157634. Its totient is φ = 54157632.

The previous prime is 54157591. The next prime is 54157643. The reversal of 54157633 is 33675145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39350529 + 14807104 = 6273^2 + 3848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54157633 is a prime.

It is not a weakly prime, because it can be changed into another prime (54157643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27078816 + 27078817.

It is an arithmetic number, because the mean of its divisors is an integer number (27078817).

Almost surely, 254157633 is an apocalyptic number.

It is an amenable number.

54157633 is a deficient number, since it is larger than the sum of its proper divisors (1).

54157633 is an equidigital number, since it uses as much as digits as its factorization.

54157633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 34.

The square root of 54157633 is about 7359.1869795515. The cubic root of 54157633 is about 378.3437449616.

The spelling of 54157633 in words is "fifty-four million, one hundred fifty-seven thousand, six hundred thirty-three".