Search a number
-
+
864528 = 24373183
BaseRepresentation
bin11010011000100010000
31121220220120
43103010100
5210131103
630310240
710230330
oct3230420
91556816
10864528
11540595
12358380
13243672
141870c0
15121253
hexd3110

864528 has 80 divisors (see below), whose sum is σ = 2666496. Its totient is φ = 236160.

The previous prime is 864511. The next prime is 864533. The reversal of 864528 is 825468.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10375 + ... + 10457.

2864528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333248).

864528 is an abundant number, since it is smaller than the sum of its proper divisors (1801968).

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

864528 is a wasteful number, since it uses less digits than its factorization.

864528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 864528 is about 929.7999784900. The cubic root of 864528 is about 95.2634607357.

Subtracting from 864528 its reverse (825468), we obtain a triangular number (39060 = T279).

The spelling of 864528 in words is "eight hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 83 84 93 112 124 166 168 186 217 248 249 332 336 372 434 496 498 581 651 664 744 868 996 1162 1302 1328 1488 1736 1743 1992 2324 2573 2604 3472 3486 3984 4648 5146 5208 6972 7719 9296 10292 10416 13944 15438 18011 20584 27888 30876 36022 41168 54033 61752 72044 108066 123504 144088 216132 288176 432264 864528