Search a number
-
+
43457761 is a prime number
BaseRepresentation
bin1010010111000…
…1110011100001
310000202212211201
42211301303201
542111122021
64151241201
71035246004
oct245616341
9100685751
1043457761
1122592506
1212679201
139007669
145ab353b
153c36591
hex2971ce1

43457761 has 2 divisors, whose sum is σ = 43457762. Its totient is φ = 43457760.

The previous prime is 43457759. The next prime is 43457767. The reversal of 43457761 is 16775434.

43457761 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., 42497361 + 960400 = 6519^2 + 980^2 .

It is a cyclic number.

It is not a de Polignac number, because 43457761 - 21 = 43457759 is a prime.

It is a super-2 number, since 2×434577612 = 3777153982266242, which contains 22 as substring.

Together with 43457759, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 43457761.

It is not a weakly prime, because it can be changed into another prime (43457767) 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, 21728880 + 21728881.

It is an arithmetic number, because the mean of its divisors is an integer number (21728881).

Almost surely, 243457761 is an apocalyptic number.

It is an amenable number.

43457761 is a deficient number, since it is larger than the sum of its proper divisors (1).

43457761 is an equidigital number, since it uses as much as digits as its factorization.

43457761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 37.

The square root of 43457761 is about 6592.2500711062. The cubic root of 43457761 is about 351.5786134547.

The spelling of 43457761 in words is "forty-three million, four hundred fifty-seven thousand, seven hundred sixty-one".