Search a number
-
+
54047633 is a prime number
BaseRepresentation
bin1100111000101…
…1001110010001
310202200220102012
43032023032101
5102314011013
65210232305
71224253163
oct316131621
9122626365
1054047633
1128565872
1216125695
13b274863
14726c933
154b291a8
hex338b391

54047633 has 2 divisors, whose sum is σ = 54047634. Its totient is φ = 54047632.

The previous prime is 54047629. The next prime is 54047681. The reversal of 54047633 is 33674045.

54047633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52243984 + 1803649 = 7228^2 + 1343^2 .

It is a cyclic number.

It is not a de Polignac number, because 54047633 - 22 = 54047629 is a prime.

It is a super-2 number, since 2×540476332 = 5842293265805378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54047633.

It is not a weakly prime, because it can be changed into another prime (54047683) 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 as a sum of consecutive naturals, namely, 27023816 + 27023817.

It is an arithmetic number, because the mean of its divisors is an integer number (27023817).

Almost surely, 254047633 is an apocalyptic number.

It is an amenable number.

54047633 is a deficient number, since it is larger than the sum of its proper divisors (1).

54047633 is an equidigital number, since it uses as much as digits as its factorization.

54047633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 54047633 is about 7351.7095290823. The cubic root of 54047633 is about 378.0874190094.

The spelling of 54047633 in words is "fifty-four million, forty-seven thousand, six hundred thirty-three".