Search a number
-
+
54456949 is a prime number
BaseRepresentation
bin1100111110111…
…1001001110101
310210110200220001
43033233021311
5102420110244
65223111301
71230606421
oct317571165
9123420801
1054456949
1128815348
12162a2531
13b388c61
147337b81
154baa5d4
hex33ef275

54456949 has 2 divisors, whose sum is σ = 54456950. Its totient is φ = 54456948.

The previous prime is 54456937. The next prime is 54456959. The reversal of 54456949 is 94965445.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40729924 + 13727025 = 6382^2 + 3705^2 .

It is a cyclic number.

It is not a de Polignac number, because 54456949 - 219 = 53932661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54456899 and 54456908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54456959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27228474 + 27228475.

It is an arithmetic number, because the mean of its divisors is an integer number (27228475).

Almost surely, 254456949 is an apocalyptic number.

It is an amenable number.

54456949 is a deficient number, since it is larger than the sum of its proper divisors (1).

54456949 is an equidigital number, since it uses as much as digits as its factorization.

54456949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 777600, while the sum is 46.

The square root of 54456949 is about 7379.4951724356. The cubic root of 54456949 is about 379.0394692989.

It can be divided in two parts, 544 and 56949, that multiplied together give a triangular number (30980256 = T7871).

The spelling of 54456949 in words is "fifty-four million, four hundred fifty-six thousand, nine hundred forty-nine".