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80013025 = 5217892
BaseRepresentation
bin1001100010011…
…10011011100001
312120120002020101
410301032123201
5130440404100
611534542401
71661046061
oct461163341
9176502211
1080013025
114118aa74
1222967a01
13137662b1
14a8ab3a1
15705786a
hex4c4e6e1

80013025 has 9 divisors (see below), whose sum is σ = 99271641. Its totient is φ = 63974640.

The previous prime is 80013023. The next prime is 80013049. The reversal of 80013025 is 52031008.

It is a happy number.

The square root of 80013025 is 8945.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12510369 + 67502656 = 3537^2 + 8216^2 .

It is not a de Polignac number, because 80013025 - 21 = 80013023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80012993 and 80013011.

It is not an unprimeable number, because it can be changed into a prime (80013023) 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 8 ways as a sum of consecutive naturals, for example, 43831 + ... + 45619.

Almost surely, 280013025 is an apocalyptic number.

80013025 is the 8945-th square number.

80013025 is the 4473-rd centered octagonal number.

It is an amenable number.

80013025 is a deficient number, since it is larger than the sum of its proper divisors (19258616).

80013025 is an frugal number, since it uses more digits than its factorization.

80013025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The cubic root of 80013025 is about 430.9103213306.

It can be divided in two parts, 8001 and 3025, that added together give a triangular number (11026 = T148).

The spelling of 80013025 in words is "eighty million, thirteen thousand, twenty-five".

Divisors: 1 5 25 1789 8945 44725 3200521 16002605 80013025