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77575085 = 572316633
BaseRepresentation
bin1001001111110…
…11001110101101
312101222020000022
410213323032231
5124324400320
611410411525
71631243300
oct447731655
9171866008
1077575085
113a875345
1221b90ba5
13130c1723
14a434b37
156c25325
hex49fb3ad

77575085 has 12 divisors (see below), whose sum is σ = 108288828. Its totient is φ = 53194176.

The previous prime is 77575073. The next prime is 77575109. The reversal of 77575085 is 58057577.

It can be written as a sum of positive squares in 2 ways, for example, as 45346756 + 32228329 = 6734^2 + 5677^2 .

It is not a de Polignac number, because 77575085 - 210 = 77574061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 158072 + ... + 158561.

It is an arithmetic number, because the mean of its divisors is an integer number (9024069).

Almost surely, 277575085 is an apocalyptic number.

It is an amenable number.

77575085 is a deficient number, since it is larger than the sum of its proper divisors (30713743).

77575085 is a wasteful number, since it uses less digits than its factorization.

77575085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316652 (or 316645 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 44.

The square root of 77575085 is about 8807.6719398488. The cubic root of 77575085 is about 426.4885931565.

The spelling of 77575085 in words is "seventy-seven million, five hundred seventy-five thousand, eighty-five".

Divisors: 1 5 7 35 49 245 316633 1583165 2216431 11082155 15515017 77575085