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80838081 = 310372
BaseRepresentation
bin1001101000101…
…11110111000001
312122010000000000
410310113313001
5131143304311
612004350213
72001053352
oct464276701
9178100000
1080838081
11416a3935
12230a5369
13139949ac
14aa43d29
15716c056
hex4d17dc1

80838081 has 33 divisors (see below), whose sum is σ = 124622211. Its totient is φ = 52435512.

The previous prime is 80838071. The next prime is 80838097. The reversal of 80838081 is 18083808.

The square root of 80838081 is 8991.

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., 72335025 + 8503056 = 8505^2 + 2916^2 .

It is not a de Polignac number, because 80838081 - 211 = 80836033 is a prime.

It is a super-2 number, since 2×808380812 = 13069590679525122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80838061) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2184795 + ... + 2184831.

Almost surely, 280838081 is an apocalyptic number.

80838081 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80838081 is the 8991-st square number.

80838081 is the 4496-th centered octagonal number.

It is an amenable number.

80838081 is a deficient number, since it is larger than the sum of its proper divisors (43784130).

80838081 is an frugal number, since it uses more digits than its factorization.

80838081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The cubic root of 80838081 is about 432.3863730818.

Multiplying 80838081 by its sum of digits (36), we get a square (2910170916 = 539462).

The spelling of 80838081 in words is "eighty million, eight hundred thirty-eight thousand, eighty-one".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 2187 2997 4107 6561 8991 12321 19683 26973 36963 59049 80919 110889 242757 332667 728271 998001 2184813 2994003 8982009 26946027 80838081