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7642009 = 19221169
BaseRepresentation
bin11101001001101110011001
3112101020212101
4131021232121
53424021014
6431443401
7121645624
oct35115631
915336771
107642009
11434a611
122686561
1317774cb
14102cdbb
15a0e474
hex749b99

7642009 has 6 divisors (see below), whose sum is σ = 8065770. Its totient is φ = 7239456.

The previous prime is 7642007. The next prime is 7642013. The reversal of 7642009 is 9002467.

It can be written as a sum of positive squares in only one way, i.e., 7590025 + 51984 = 2755^2 + 228^2 .

It is not a de Polignac number, because 7642009 - 21 = 7642007 is a prime.

It is a Duffinian number.

7642009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7642007) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10224 + ... + 10945.

It is an arithmetic number, because the mean of its divisors is an integer number (1344295).

Almost surely, 27642009 is an apocalyptic number.

It is an amenable number.

7642009 is a deficient number, since it is larger than the sum of its proper divisors (423761).

7642009 is a wasteful number, since it uses less digits than its factorization.

7642009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21207 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 7642009 is about 2764.4183836749. The cubic root of 7642009 is about 196.9711021197.

The spelling of 7642009 in words is "seven million, six hundred forty-two thousand, nine".

Divisors: 1 19 361 21169 402211 7642009