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80263681 = 174312
BaseRepresentation
bin1001100100010…
…11101000000001
312121000211001221
410302023220001
5131021414211
611544155041
71663141621
oct462135001
9177024057
1080263681
1141341323
1222a68a81
1313823404
14a934881
1570a6c71
hex4c8ba01

80263681 has 15 divisors (see below), whose sum is σ = 88119813. Its totient is φ = 73105440.

The previous prime is 80263633. The next prime is 80263751. The reversal of 80263681 is 18636208.

The square root of 80263681 is 8959.

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

It can be written as a sum of positive squares in 2 ways, for example, as 24910081 + 55353600 = 4991^2 + 7440^2 .

It is not a de Polignac number, because 80263681 - 27 = 80263553 is a prime.

It is a super-2 number, since 2×802636812 = 12884516975339522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80263621) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2589136 + ... + 2589166.

Almost surely, 280263681 is an apocalyptic number.

80263681 is the 8959-th square number.

80263681 is the 4480-th centered octagonal number.

It is an amenable number.

80263681 is a deficient number, since it is larger than the sum of its proper divisors (7856132).

80263681 is an frugal number, since it uses more digits than its factorization.

80263681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 80263681 is about 431.3598217540.

Adding to 80263681 its reverse (18636208), we get a palindrome (98899889).

The spelling of 80263681 in words is "eighty million, two hundred sixty-three thousand, six hundred eighty-one".

Divisors: 1 17 31 289 527 961 4913 8959 16337 83521 152303 277729 2589151 4721393 80263681