Search a number
-
+
85826688 = 273223507
BaseRepresentation
bin1010001110110…
…01110010000000
312222111110002020
411013121302000
5133432423223
612303321440
72061341403
oct507316200
9188443066
1085826688
11444a0952
12248b0280
1314a2052c
14b581d3a
1578051e3
hex51d9c80

85826688 has 32 divisors (see below), whose sum is σ = 227978160. Its totient is φ = 28608768.

The previous prime is 85826687. The next prime is 85826701. The reversal of 85826688 is 88662858.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 85826688.

It is not an unprimeable number, because it can be changed into a prime (85826687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111370 + ... + 112137.

Almost surely, 285826688 is an apocalyptic number.

It is an amenable number.

85826688 is an abundant number, since it is smaller than the sum of its proper divisors (142151472).

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

85826688 is a wasteful number, since it uses less digits than its factorization.

85826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223524 (or 223512 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 85826688 is about 9264.2694261339. The cubic root of 85826688 is about 441.1037851999.

The spelling of 85826688 in words is "eighty-five million, eight hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 223507 447014 670521 894028 1341042 1788056 2682084 3576112 5364168 7152224 10728336 14304448 21456672 28608896 42913344 85826688