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66504025 = 52722332
BaseRepresentation
bin1111110110110…
…0010101011001
311122010202101001
43331230111121
5114011112100
610333225001
71435163200
oct375542531
9148122331
1066504025
11345a3505
121a332161
1310a164c3
148b92237
155c89d6a
hex3f6c559

66504025 has 27 divisors (see below), whose sum is σ = 96342141. Its totient is φ = 45407040.

The previous prime is 66504023. The next prime is 66504041. The reversal of 66504025 is 52040566.

The square root of 66504025 is 8155.

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 13097161 + 53406864 = 3619^2 + 7308^2 .

It is not a de Polignac number, because 66504025 - 21 = 66504023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66503984 and 66504002.

It is not an unprimeable number, because it can be changed into a prime (66504023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 285309 + ... + 285541.

Almost surely, 266504025 is an apocalyptic number.

66504025 is the 8155-th square number.

66504025 is the 4078-th centered octagonal number.

It is an amenable number.

66504025 is a deficient number, since it is larger than the sum of its proper divisors (29838116).

66504025 is an equidigital number, since it uses as much as digits as its factorization.

66504025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The cubic root of 66504025 is about 405.1501247038.

The spelling of 66504025 in words is "sixty-six million, five hundred four thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 233 245 1165 1225 1631 5825 8155 11417 40775 54289 57085 271445 285425 380023 1357225 1900115 2660161 9500575 13300805 66504025