Search a number
-
+
77401645 = 54129209
BaseRepresentation
bin1001001110100…
…00111000101101
312101122102002121
410213100320231
5124303323040
611402552541
71626621526
oct447207055
9171572077
1077401645
113a767002
1221b08751
13130607b9
14a3cb84d
156bddc4a
hex49d0e2d

77401645 has 12 divisors (see below), whose sum is σ = 95212980. Its totient is φ = 60404480.

The previous prime is 77401631. The next prime is 77401651. The reversal of 77401645 is 54610477.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41951529 + 35450116 = 6477^2 + 5954^2 .

It is not a de Polignac number, because 77401645 - 25 = 77401613 is a prime.

It is a super-3 number, since 3×774016453 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77401645.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 3801 + ... + 13009.

It is an arithmetic number, because the mean of its divisors is an integer number (7934415).

Almost surely, 277401645 is an apocalyptic number.

It is an amenable number.

77401645 is a deficient number, since it is larger than the sum of its proper divisors (17811335).

77401645 is an equidigital number, since it uses as much as digits as its factorization.

77401645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 77401645 is about 8797.8204687297. The cubic root of 77401645 is about 426.1705126073.

The spelling of 77401645 in words is "seventy-seven million, four hundred one thousand, six hundred forty-five".

Divisors: 1 5 41 205 1681 8405 9209 46045 377569 1887845 15480329 77401645