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80393825 = 524121913
BaseRepresentation
bin1001100101010…
…11011001100001
312121021102121002
410302223121201
5131040100300
611551041345
71664223221
oct462533141
9177242532
1080393825
1141420086
1222b10255
131386a715
14a96a081
1570d05d5
hex4cab661

80393825 has 18 divisors (see below), whose sum is σ = 102232482. Its totient is φ = 62713600.

The previous prime is 80393821. The next prime is 80393843. The reversal of 80393825 is 52839308.

It can be written as a sum of positive squares in 9 ways, for example, as 48539089 + 31854736 = 6967^2 + 5644^2 .

It is not a de Polignac number, because 80393825 - 22 = 80393821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80393821) 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 17 ways as a sum of consecutive naturals, for example, 41069 + ... + 42981.

Almost surely, 280393825 is an apocalyptic number.

It is an amenable number.

80393825 is a deficient number, since it is larger than the sum of its proper divisors (21838657).

80393825 is a wasteful number, since it uses less digits than its factorization.

80393825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 80393825 is about 8966.2603687379. The cubic root of 80393825 is about 431.5928394651.

It can be divided in two parts, 80393 and 825, that added together give a palindrome (81218).

The spelling of 80393825 in words is "eighty million, three hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 1913 8405 9565 42025 47825 78433 392165 1960825 3215753 16078765 80393825