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80726977 = 7310110949
BaseRepresentation
bin1001100111111…
…00101111000001
312121220100121001
410303330233001
5131131230402
612002132001
72000111422
oct463745701
9177810531
1080726977
1141628411
1223051001
1313956256
14aa15649
157149187
hex4cfcbc1

80726977 has 8 divisors (see below), whose sum is σ = 82650600. Its totient is φ = 78825600.

The previous prime is 80726969. The next prime is 80726993. The reversal of 80726977 is 77962708.

It can be written as a sum of positive squares in 4 ways, for example, as 14776336 + 65950641 = 3844^2 + 8121^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 80726977 - 23 = 80726969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80726957) by changing a digit.

It is a Kaprekar number, because its square (6516844815558529) can be partitioned into two parts whose sum is 80726977.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 12847.

It is an arithmetic number, because the mean of its divisors is an integer number (10331325).

Almost surely, 280726977 is an apocalyptic number.

It is an amenable number.

80726977 is a deficient number, since it is larger than the sum of its proper divisors (1923623).

80726977 is a wasteful number, since it uses less digits than its factorization.

80726977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123.

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 80726977 is about 8984.8192524947. The cubic root of 80726977 is about 432.1881913977.

The spelling of 80726977 in words is "eighty million, seven hundred twenty-six thousand, nine hundred seventy-seven".

Divisors: 1 73 101 7373 10949 799277 1105849 80726977