Search a number
-
+
85350654 = 23223297109
BaseRepresentation
bin1010001011001…
…01100011111110
312221121021002100
411011211203332
5133322210104
612245205530
72054316504
oct505454376
9187537070
1085350654
11441a6234
12247008a6
13148b495c
14b49a674
15775e139
hex51658fe

85350654 has 48 divisors (see below), whose sum is σ = 199648800. Its totient is φ = 26271168.

The previous prime is 85350653. The next prime is 85350689. The reversal of 85350654 is 45605358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85350653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8452 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (4159350).

Almost surely, 285350654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85350654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99824400).

85350654 is an abundant number, since it is smaller than the sum of its proper divisors (114298146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85350654 is a wasteful number, since it uses less digits than its factorization.

85350654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 85350654 is about 9238.5417680498. The cubic root of 85350654 is about 440.2867517860.

The spelling of 85350654 in words is "eighty-five million, three hundred fifty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 7109 12006 14218 21327 42654 63981 127962 163507 206161 327014 412322 490521 618483 981042 1236966 1471563 1855449 2943126 3710898 4741703 9483406 14225109 28450218 42675327 85350654