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803273268 = 22372712271
BaseRepresentation
bin101111111000001…
…111101000110100
32001222111111202210
4233320033220310
53121114221033
6211412533420
725622465400
oct5770175064
92058444683
10803273268
11382477106
121a5021270
13ca55aa35
147897c100
154a7c1d63
hex2fe0fa34

803273268 has 108 divisors (see below), whose sum is σ = 2219614656. Its totient is φ = 225439200.

The previous prime is 803273257. The next prime is 803273297. The reversal of 803273268 is 862372308.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2963973 + ... + 2964243.

Almost surely, 2803273268 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 803273268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109807328).

803273268 is an abundant number, since it is smaller than the sum of its proper divisors (1416341388).

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

803273268 is a wasteful number, since it uses less digits than its factorization.

803273268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 803273268 is about 28342.0759296139. The cubic root of 803273268 is about 929.5821408724.

The spelling of 803273268 in words is "eight hundred three million, two hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 271 284 294 426 497 542 588 813 852 994 1084 1491 1626 1897 1988 2982 3252 3479 3794 5041 5691 5964 6958 7588 10082 10437 11382 13279 13916 15123 19241 20164 20874 22764 26558 30246 35287 38482 39837 41748 53116 57723 60492 70574 76964 79674 105861 115446 134687 141148 159348 211722 230892 247009 269374 404061 423444 494018 538748 741027 808122 942809 988036 1366111 1482054 1616244 1885618 2732222 2828427 2964108 3771236 4098333 5464444 5656854 8196666 9562777 11313708 16393332 19125554 28688331 38251108 57376662 66939439 114753324 133878878 200818317 267757756 401636634 803273268