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7242641 = 72791871
BaseRepresentation
bin11011101000001110010001
3111121222000222
4123220032101
53323231031
6415122425
7115363400
oct33501621
914558028
107242641
1140a755a
122513415
1316677b3
14d67637
15980e7b
hex6e8391

7242641 has 12 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 6126120.

The previous prime is 7242637. The next prime is 7242643. The reversal of 7242641 is 1462427.

It is not a de Polignac number, because 7242641 - 22 = 7242637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7242641.

It is not an unprimeable number, because it can be changed into a prime (7242643) 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, 2936 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (711360).

Almost surely, 27242641 is an apocalyptic number.

It is an amenable number.

7242641 is a deficient number, since it is larger than the sum of its proper divisors (1293679).

7242641 is a wasteful number, since it uses less digits than its factorization.

7242641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1957 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 7242641 is about 2691.2155246282. The cubic root of 7242641 is about 193.4783253080.

The spelling of 7242641 in words is "seven million, two hundred forty-two thousand, six hundred forty-one".

Divisors: 1 7 49 79 553 1871 3871 13097 91679 147809 1034663 7242641