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864248 = 237112361
BaseRepresentation
bin11010010111111111000
31121220112012
43102333320
5210123443
630305052
710226450
oct3227770
91556465
10864248
11540360
12358188
132434b8
14186d60
15121118
hexd2ff8

864248 has 64 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 316800.

The previous prime is 864223. The next prime is 864251. The reversal of 864248 is 842468.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864248.

It is an unprimeable number.

864248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14138 + ... + 14198.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2864248 is an apocalyptic number.

864248 is a gapful number since it is divisible by the number (88) 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 864248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

864248 is an abundant number, since it is smaller than the sum of its proper divisors (1278472).

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

864248 is a wasteful number, since it uses less digits than its factorization.

864248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 864248 is about 929.6493962780. The cubic root of 864248 is about 95.2531751042.

It can be divided in two parts, 86 and 4248, that added together give a palindrome (4334).

The spelling of 864248 in words is "eight hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 61 77 88 92 122 154 161 184 244 253 308 322 427 488 506 616 644 671 854 1012 1288 1342 1403 1708 1771 2024 2684 2806 3416 3542 4697 5368 5612 7084 9394 9821 11224 14168 15433 18788 19642 30866 37576 39284 61732 78568 108031 123464 216062 432124 864248