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40132225 = 52721812
BaseRepresentation
bin1001100100010…
…1111010000001
32210111221001201
42121011322001
540233212400
63552101201
7665055400
oct231057201
983457051
1040132225
1120720a31
1211534801
138411aa3
145489637
1537cb06a
hex2645e81

40132225 has 27 divisors (see below), whose sum is σ = 58210281. Its totient is φ = 27367200.

The previous prime is 40132207. The next prime is 40132247. The reversal of 40132225 is 52223104.

The square root of 40132225 is 6335.

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 21538881 + 18593344 = 4641^2 + 4312^2 .

It is not a de Polignac number, because 40132225 - 213 = 40124033 is a prime.

It is a super-2 number, since 2×401322252 = 3221190966901250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 221635 + ... + 221815.

Almost surely, 240132225 is an apocalyptic number.

40132225 is the 6335-th square number.

40132225 is the 3168-th centered octagonal number.

It is an amenable number.

40132225 is a deficient number, since it is larger than the sum of its proper divisors (18078056).

40132225 is an equidigital number, since it uses as much as digits as its factorization.

40132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 40132225 is about 342.3716108193.

Adding to 40132225 its reverse (52223104), we get a palindrome (92355329).

The spelling of 40132225 in words is "forty million, one hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 181 245 905 1225 1267 4525 6335 8869 31675 32761 44345 163805 221725 229327 819025 1146635 1605289 5733175 8026445 40132225