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12042289 = 72534637
BaseRepresentation
bin101101111100…
…000000110001
3211122210220201
4231330000301
511040323124
61110035201
7204233500
oct55740061
924583821
1012042289
116885606
124048b01
13265831c
141856837
1510cd144
hexb7c031

12042289 has 12 divisors (see below), whose sum is σ = 14275764. Its totient is φ = 10125024.

The previous prime is 12042287. The next prime is 12042301. The reversal of 12042289 is 98224021.

It can be written as a sum of positive squares in 2 ways, for example, as 5832225 + 6210064 = 2415^2 + 2492^2 .

It is not a de Polignac number, because 12042289 - 21 = 12042287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12042287) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 279 + ... + 4915.

It is an arithmetic number, because the mean of its divisors is an integer number (1189647).

Almost surely, 212042289 is an apocalyptic number.

It is an amenable number.

12042289 is a deficient number, since it is larger than the sum of its proper divisors (2233475).

12042289 is an equidigital number, since it uses as much as digits as its factorization.

12042289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12042289 is about 3470.2001383206. The cubic root of 12042289 is about 229.2114711001.

The spelling of 12042289 in words is "twelve million, forty-two thousand, two hundred eighty-nine".

Divisors: 1 7 49 53 371 2597 4637 32459 227213 245761 1720327 12042289