Search a number
-
+
85387653 = 32131971541
BaseRepresentation
bin1010001011011…
…10100110000101
312221200010211200
411011232212011
5133324401103
612250053113
72054532411
oct505564605
9187603750
1085387653
114422100a
122471a199
13148c8750
14b4a9d41
15776a0a3
hex516e985

85387653 has 48 divisors (see below), whose sum is σ = 142047360. Its totient is φ = 48988800.

The previous prime is 85387649. The next prime is 85387663. The reversal of 85387653 is 35678358.

It is not a de Polignac number, because 85387653 - 22 = 85387649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85387599 and 85387608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85387613) 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, 157563 + ... + 158103.

It is an arithmetic number, because the mean of its divisors is an integer number (2959320).

Almost surely, 285387653 is an apocalyptic number.

It is an amenable number.

85387653 is a deficient number, since it is larger than the sum of its proper divisors (56659707).

85387653 is a wasteful number, since it uses less digits than its factorization.

85387653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 647 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85387653 is about 9240.5439774940. The cubic root of 85387653 is about 440.3503631564.

The spelling of 85387653 in words is "eighty-five million, three hundred eighty-seven thousand, six hundred fifty-three".

Divisors: 1 3 9 13 19 39 57 71 117 171 213 247 541 639 741 923 1349 1623 2223 2769 4047 4869 7033 8307 10279 12141 17537 21099 30837 38411 52611 63297 92511 115233 133627 157833 345699 400881 499343 729809 1202643 1498029 2189427 4494087 6568281 9487517 28462551 85387653