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67980025 = 52172972
BaseRepresentation
bin1000000110101…
…00101011111001
311201220202001201
410003110223321
5114400330100
610425014201
71453551331
oct403245371
9151822051
1067980025
1135411443
121a924361
1311112289
1490580c1
155e7c36a
hex40d4af9

67980025 has 27 divisors (see below), whose sum is σ = 90478119. Its totient is φ = 50657280.

The previous prime is 67980013. The next prime is 67980037. The reversal of 67980025 is 52008976.

The square root of 67980025 is 8245.

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

It is an interprime number because it is at equal distance from previous prime (67980013) and next prime (67980037).

It can be written as a sum of positive squares in 13 ways, for example, as 27071209 + 40908816 = 5203^2 + 6396^2 .

It is not a de Polignac number, because 67980025 - 211 = 67977977 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 700777 + ... + 700873.

Almost surely, 267980025 is an apocalyptic number.

67980025 is the 8245-th square number.

67980025 is the 4123-rd centered octagonal number.

It is an amenable number.

67980025 is a deficient number, since it is larger than the sum of its proper divisors (22498094).

67980025 is an equidigital number, since it uses as much as digits as its factorization.

67980025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 67980025 is about 408.1255400715.

The spelling of 67980025 in words is "sixty-seven million, nine hundred eighty thousand, twenty-five".

Divisors: 1 5 17 25 85 97 289 425 485 1445 1649 2425 7225 8245 9409 28033 41225 47045 140165 159953 235225 700825 799765 2719201 3998825 13596005 67980025