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80417268 = 22329723029
BaseRepresentation
bin1001100101100…
…01000111110100
312121022121202100
410302301013310
5131041323033
611551342100
71664351451
oct462610764
9177277670
1080417268
1141436758
1222b21930
13138782a9
14a974828
1570d7513
hex4cb11f4

80417268 has 36 divisors (see below), whose sum is σ = 205381540. Its totient is φ = 26528256.

The previous prime is 80417263. The next prime is 80417279. The reversal of 80417268 is 86271408.

It can be written as a sum of positive squares in 2 ways, for example, as 56972304 + 23444964 = 7548^2 + 4842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80417263) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8023 + ... + 15006.

Almost surely, 280417268 is an apocalyptic number.

It is an amenable number.

80417268 is an abundant number, since it is smaller than the sum of its proper divisors (124964272).

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

80417268 is a wasteful number, since it uses less digits than its factorization.

80417268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23136 (or 23131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 80417268 is about 8967.5675631690. The cubic root of 80417268 is about 431.6347864995.

The spelling of 80417268 in words is "eighty million, four hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 23029 46058 69087 92116 138174 207261 276348 414522 829044 2233813 4467626 6701439 8935252 13402878 20104317 26805756 40208634 80417268