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7072641 = 322772837
BaseRepresentation
bin11010111110101110000001
3111022022211200
4122332232001
53302311031
6411331413
7114054642
oct32765601
914268750
107072641
113aa0864
122450b69
1316082c4
14d216c9
1594a8e6
hex6beb81

7072641 has 12 divisors (see below), whose sum is σ = 10256532. Its totient is φ = 4696416.

The previous prime is 7072631. The next prime is 7072649. The reversal of 7072641 is 1462707.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 6426225 = 804^2 + 2535^2 .

It is not a de Polignac number, because 7072641 - 26 = 7072577 is a prime.

7072641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7072649) 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 11 ways as a sum of consecutive naturals, for example, 1075 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (854711).

Almost surely, 27072641 is an apocalyptic number.

It is an amenable number.

7072641 is a deficient number, since it is larger than the sum of its proper divisors (3183891).

7072641 is a wasteful number, since it uses less digits than its factorization.

7072641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7072641 is about 2659.4437388296. The cubic root of 7072641 is about 191.9525436098.

The spelling of 7072641 in words is "seven million, seventy-two thousand, six hundred forty-one".

Divisors: 1 3 9 277 831 2493 2837 8511 25533 785849 2357547 7072641