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4036081 = 74412
BaseRepresentation
bin1111011001010111110001
321121001110111
433121113301
52013123311
6222301321
746210000
oct17312761
97531414
104036081
112307405
121427841
13ab411a
14770c37
1554ad21
hex3d95f1

4036081 has 15 divisors (see below), whose sum is σ = 4826123. Its totient is φ = 3375120.

The previous prime is 4036069. The next prime is 4036091. The reversal of 4036081 is 1806304.

The square root of 4036081 is 2009.

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., 194481 + 3841600 = 441^2 + 1960^2 .

It is not a de Polignac number, because 4036081 - 25 = 4036049 is a prime.

It is a super-2 number, since 2×40360812 = 32579899677122, which contains 22 as substring.

It is a Duffinian number.

4036081 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4036001) 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, 98421 + ... + 98461.

Almost surely, 24036081 is an apocalyptic number.

4036081 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4036081 is the 2009-th square number.

4036081 is the 1005-th centered octagonal number.

It is an amenable number.

4036081 is a deficient number, since it is larger than the sum of its proper divisors (790042).

4036081 is an frugal number, since it uses more digits than its factorization.

4036081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 4036081 is about 159.2159690596.

Multiplying 4036081 by its product of nonzero digits (576), we get a square (2324782656 = 482162).

The spelling of 4036081 in words is "four million, thirty-six thousand, eighty-one".

Divisors: 1 7 41 49 287 343 1681 2009 2401 11767 14063 82369 98441 576583 4036081