Search a number
-
+
803261368 = 237131935717
BaseRepresentation
bin101111111000001…
…100101110111000
32001222110220110001
4233320030232320
53121113330433
6211412402344
725622415610
oct5770145670
92058426401
10803261368
11382469178
121a50163b4
13ca5554b0
1478977a40
154a7bd57d
hex2fe0cbb8

803261368 has 64 divisors (see below), whose sum is σ = 1863610560. Its totient is φ = 316071936.

The previous prime is 803261363. The next prime is 803261377. The reversal of 803261368 is 863162308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803261363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137646 + ... + 143362.

It is an arithmetic number, because the mean of its divisors is an integer number (29118915).

Almost surely, 2803261368 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 803261368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931805280).

803261368 is an abundant number, since it is smaller than the sum of its proper divisors (1060349192).

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

803261368 is a wasteful number, since it uses less digits than its factorization.

803261368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 803261368 is about 28341.8659936145. The cubic root of 803261368 is about 929.5775504536.

The spelling of 803261368 in words is "eight hundred three million, two hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 193 364 386 728 772 1351 1544 2509 2702 5018 5404 5717 10036 10808 11434 17563 20072 22868 35126 40019 45736 70252 74321 80038 140504 148642 160076 297284 320152 520247 594568 1040494 1103381 2080988 2206762 4161976 4413524 7723667 8827048 14343953 15447334 28687906 30894668 57375812 61789336 100407671 114751624 200815342 401630684 803261368