Search a number
-
+
85389507 = 3273139199
BaseRepresentation
bin1010001011011…
…11000011000011
312221200020101100
411011233003003
5133324431012
612250105443
72054541000
oct505570303
9187606340
1085389507
1144222445
122471b283
13148c9548
14b4aa8a7
15776a8dc
hex516f0c3

85389507 has 48 divisors (see below), whose sum is σ = 145600000. Its totient is φ = 48199536.

The previous prime is 85389463. The next prime is 85389509. The reversal of 85389507 is 70598358.

It is not a de Polignac number, because 85389507 - 28 = 85389251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85389509) 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 47 ways as a sum of consecutive naturals, for example, 428994 + ... + 429192.

Almost surely, 285389507 is an apocalyptic number.

85389507 is a deficient number, since it is larger than the sum of its proper divisors (60210493).

85389507 is a wasteful number, since it uses less digits than its factorization.

85389507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85389507 is about 9240.6442957188. The cubic root of 85389507 is about 440.3535502045.

The spelling of 85389507 in words is "eighty-five million, three hundred eighty-nine thousand, five hundred seven".

Divisors: 1 3 7 9 21 49 63 139 147 199 343 417 441 597 973 1029 1251 1393 1791 2919 3087 4179 6811 8757 9751 12537 20433 27661 29253 47677 61299 68257 82983 87759 143031 193627 204771 248949 429093 580881 614313 1355389 1742643 4066167 9487723 12198501 28463169 85389507