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66825825 = 3521181001
BaseRepresentation
bin1111111011101…
…0111001100001
311122202002210120
43332322321201
5114101411300
610344150453
71441003323
oct376727141
9148662716
1066825825
11347a3260
121a468429
1310ac9b11
148c37613
155d003a0
hex3fbae61

66825825 has 24 divisors (see below), whose sum is σ = 120530976. Its totient is φ = 32400000.

The previous prime is 66825821. The next prime is 66825877. The reversal of 66825825 is 52852866.

It is not a de Polignac number, because 66825825 - 22 = 66825821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66825821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39676 + ... + 41325.

It is an arithmetic number, because the mean of its divisors is an integer number (5022124).

Almost surely, 266825825 is an apocalyptic number.

It is an amenable number.

66825825 is a deficient number, since it is larger than the sum of its proper divisors (53705151).

66825825 is a wasteful number, since it uses less digits than its factorization.

66825825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81025 (or 81020 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 66825825 is about 8174.7064167467. The cubic root of 66825825 is about 405.8025543049.

It can be divided in two parts, 66825 and 825, that multiplied together give a square (55130625 = 74252).

The spelling of 66825825 in words is "sixty-six million, eight hundred twenty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 81001 243003 405005 891011 1215015 2025025 2673033 4455055 6075075 13365165 22275275 66825825