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7242993 = 33457587
BaseRepresentation
bin11011101000010011110001
3111121222112000
4123220103301
53323233433
6415124213
7115364412
oct33502361
914558460
107242993
1140a784a
122513669
1316679c4
14d67809
15981113
hex6e84f1

7242993 has 16 divisors (see below), whose sum is σ = 10772160. Its totient is φ = 4809888.

The previous prime is 7242979. The next prime is 7243001. The reversal of 7242993 is 3992427.

7242993 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7242993 - 28 = 7242737 is a prime.

It is a Curzon number.

7242993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7242943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12046 + ... + 12632.

It is an arithmetic number, because the mean of its divisors is an integer number (673260).

Almost surely, 27242993 is an apocalyptic number.

It is an amenable number.

7242993 is a deficient number, since it is larger than the sum of its proper divisors (3529167).

7242993 is a wasteful number, since it uses less digits than its factorization.

7242993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1047 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 7242993 is about 2691.2809217917. The cubic root of 7242993 is about 193.4814596742.

The spelling of 7242993 in words is "seven million, two hundred forty-two thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 457 587 1371 1761 4113 5283 12339 15849 268259 804777 2414331 7242993