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77229968 = 2417327901
BaseRepresentation
bin1001001101001…
…10111110010000
312101022200121012
410212212332100
5124232324333
611355150052
71625305154
oct446467620
9171280535
1077229968
113a65a022
1221a45328
131300060a
14a385064
156ba7e48
hex49a6f90

77229968 has 20 divisors (see below), whose sum is σ = 150503388. Its totient is φ = 38390400.

The previous prime is 77229961. The next prime is 77229973. The reversal of 77229968 is 86992277.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70090384 + 7139584 = 8372^2 + 2672^2 .

It is not an unprimeable number, because it can be changed into a prime (77229961) 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 in 3 ways as a sum of consecutive naturals, for example, 11183 + ... + 16718.

Almost surely, 277229968 is an apocalyptic number.

It is an amenable number.

77229968 is a deficient number, since it is larger than the sum of its proper divisors (73273420).

77229968 is a wasteful number, since it uses less digits than its factorization.

77229968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28082 (or 28076 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 77229968 is about 8788.0582610722. The cubic root of 77229968 is about 425.8551970252.

The spelling of 77229968 in words is "seventy-seven million, two hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 173 346 692 1384 2768 27901 55802 111604 223208 446416 4826873 9653746 19307492 38614984 77229968