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993248257 = 7283136379
BaseRepresentation
bin111011001100111…
…100010000000001
32120012222020110111
4323030330100001
54013232421012
6242320431321
733420320341
oct7314742001
92505866414
10993248257
1146a732131
12238778541
1312aa14c81
1495cb0d21
155c2eaba7
hex3b33c401

993248257 has 4 divisors (see below), whose sum is σ = 993391920. Its totient is φ = 993104596.

The previous prime is 993248233. The next prime is 993248297. The reversal of 993248257 is 752842399.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993248257 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 993248257.

It is not an unprimeable number, because it can be changed into a prime (993248297) 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 3 ways as a sum of consecutive naturals, for example, 60907 + ... + 75472.

It is an arithmetic number, because the mean of its divisors is an integer number (248347980).

Almost surely, 2993248257 is an apocalyptic number.

It is an amenable number.

993248257 is a deficient number, since it is larger than the sum of its proper divisors (143663).

993248257 is a wasteful number, since it uses less digits than its factorization.

993248257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143662.

The product of its digits is 1088640, while the sum is 49.

The square root of 993248257 is about 31515.8413658909. The cubic root of 993248257 is about 997.7443348001.

The spelling of 993248257 in words is "nine hundred ninety-three million, two hundred forty-eight thousand, two hundred fifty-seven".

Divisors: 1 7283 136379 993248257