Search a number
-
+
828696 = 233114373
BaseRepresentation
bin11001010010100011000
31120002202110
43022110120
5203004241
625432320
710021011
oct3122430
91502673
10828696
11516680
1233b6a0
1323026b
14178008
15115816
hexca518

828696 has 64 divisors (see below), whose sum is σ = 2344320. Its totient is φ = 241920.

The previous prime is 828691. The next prime is 828697. The reversal of 828696 is 696828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11316 + ... + 11388.

It is an arithmetic number, because the mean of its divisors is an integer number (36630).

2828696 is an apocalyptic number.

828696 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172160).

828696 is an abundant number, since it is smaller than the sum of its proper divisors (1515624).

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

828696 is a wasteful number, since it uses less digits than its factorization.

828696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 828696 is about 910.3274136265. The cubic root of 828696 is about 93.9287221840.

It can be divided in two parts, 82 and 8696, that added together give a palindrome (8778).

The spelling of 828696 in words is "eight hundred twenty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 73 86 88 129 132 146 172 219 258 264 292 344 438 473 516 584 803 876 946 1032 1419 1606 1752 1892 2409 2838 3139 3212 3784 4818 5676 6278 6424 9417 9636 11352 12556 18834 19272 25112 34529 37668 69058 75336 103587 138116 207174 276232 414348 828696