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802418929 = 13221792
BaseRepresentation
bin101111110100111…
…111000011110001
32001220220002211121
4233310333003301
53120404401204
6211342342241
725612306534
oct5764770361
92056802747
10802418929
11381a43244
121a488a981
13ca31bc00
14787d8a1b
154a6a3b54
hex2fd3f0f1

802418929 has 9 divisors (see below), whose sum is σ = 869290443. Its totient is φ = 740354472.

The previous prime is 802418909. The next prime is 802418933. The reversal of 802418929 is 929814208.

The square root of 802418929 is 28327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118701025 + 683717904 = 10895^2 + 26148^2 .

It is not a de Polignac number, because 802418929 - 213 = 802410737 is a prime.

It is a super-2 number, since 2×8024189292 = 1287752275235014082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802418909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 367162 + ... + 369340.

It is an arithmetic number, because the mean of its divisors is an integer number (96587827).

Almost surely, 2802418929 is an apocalyptic number.

802418929 is the 28327-th square number.

802418929 is the 14164-th centered octagonal number.

It is an amenable number.

802418929 is a deficient number, since it is larger than the sum of its proper divisors (66871514).

802418929 is an frugal number, since it uses more digits than its factorization.

802418929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The cubic root of 802418929 is about 929.2524647708.

Multiplying 802418929 by its product of nonzero digits (82944), we get a square (66555835646976 = 81581762).

The spelling of 802418929 in words is "eight hundred two million, four hundred eighteen thousand, nine hundred twenty-nine".

Divisors: 1 13 169 2179 28327 368251 4748041 61724533 802418929