Search a number
-
+
85446864 = 2432593381
BaseRepresentation
bin1010001011111…
…01000011010000
312221210011001200
411011331003100
5133333244424
612251231200
72055200136
oct505750320
9187704050
1085446864
1144261548
1224748500
1314919699
14b4c3756
15777c8c9
hex517d0d0

85446864 has 30 divisors (see below), whose sum is σ = 239132946. Its totient is φ = 28482240.

The previous prime is 85446841. The next prime is 85446869. The reversal of 85446864 is 46864458.

It can be written as a sum of positive squares in only one way, i.e., 44997264 + 40449600 = 6708^2 + 6360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85446869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296547 + ... + 296834.

Almost surely, 285446864 is an apocalyptic number.

It is an amenable number.

85446864 is an abundant number, since it is smaller than the sum of its proper divisors (153686082).

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

85446864 is a wasteful number, since it uses less digits than its factorization.

85446864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593395 (or 593386 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 85446864 is about 9243.7472920889. The cubic root of 85446864 is about 440.4521247889.

The spelling of 85446864 in words is "eighty-five million, four hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 593381 1186762 1780143 2373524 3560286 4747048 5340429 7120572 9494096 10680858 14241144 21361716 28482288 42723432 85446864