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94249585 = 5137313729
BaseRepresentation
bin1011001111000…
…10001001110001
320120100101010101
411213202021301
5143111441320
613204032401
72223052063
oct547421161
9216311111
1094249585
1149224121
1227692701
13166ac2b1
14c735733
15841ac0a
hex59e2271

94249585 has 8 divisors (see below), whose sum is σ = 113190120. Its totient is φ = 75339264.

The previous prime is 94249577. The next prime is 94249591. The reversal of 94249585 is 58594249.

94249585 is a nontrivial binomial coefficient, being equal to C(13730, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 29463184 + 64786401 = 5428^2 + 8049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 94249585 - 23 = 94249577 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 13729.

It is an arithmetic number, because the mean of its divisors is an integer number (14148765).

Almost surely, 294249585 is an apocalyptic number.

94249585 is the 13729-th triangular number and also the 6865-th hexagonal number.

94249585 is the 4577-th centered nonagonal number.

It is an amenable number.

94249585 is a deficient number, since it is larger than the sum of its proper divisors (18940535).

94249585 is a wasteful number, since it uses less digits than its factorization.

94249585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15107.

The product of its digits is 518400, while the sum is 46.

The square root of 94249585 is about 9708.2225458629. Note that the first 3 decimals coincide. The cubic root of 94249585 is about 455.0856579060.

The spelling of 94249585 in words is "ninety-four million, two hundred forty-nine thousand, five hundred eighty-five".

Divisors: 1 5 1373 6865 13729 68645 18849917 94249585