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385577617 = 1603324049
BaseRepresentation
bin10110111110110…
…111001010010001
3222212112101001111
4112332313022101
51242201440432
6102132133321
712361232665
oct2676671221
9885471044
10385577617
11188715197
12a9167241
1361b61b49
14392cc8a5
1523cb5347
hex16fb7291

385577617 has 4 divisors (see below), whose sum is σ = 385617700. Its totient is φ = 385537536.

The previous prime is 385577611. The next prime is 385577639. The reversal of 385577617 is 716775583.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 322597521 = 7936^2 + 17961^2 .

It is a 3-Lehmer number, since φ(385577617) divides (385577617-1)3.

It is a cyclic number.

It is not a de Polignac number, because 385577617 - 215 = 385544849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385577611) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4009 + ... + 28057.

It is an arithmetic number, because the mean of its divisors is an integer number (96404425).

Almost surely, 2385577617 is an apocalyptic number.

385577617 is the 16033-rd pentagonal number.

It is an amenable number.

385577617 is a deficient number, since it is larger than the sum of its proper divisors (40083).

385577617 is a wasteful number, since it uses less digits than its factorization.

385577617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40082.

The product of its digits is 1234800, while the sum is 49.

The square root of 385577617 is about 19636.1303978151. The cubic root of 385577617 is about 727.8422660974.

The spelling of 385577617 in words is "three hundred eighty-five million, five hundred seventy-seven thousand, six hundred seventeen".

Divisors: 1 16033 24049 385577617