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9902993 = 171972957
BaseRepresentation
bin100101110001…
…101110010001
3200122010100112
4211301232101
510013343433
6552131105
7150113462
oct45615621
920563315
109902993
1156542a1
123396a95
132089679
14145ad69
15d09348
hex971b91

9902993 has 8 divisors (see below), whose sum is σ = 10542312. Its totient is φ = 9270016.

The previous prime is 9902989. The next prime is 9903001. The reversal of 9902993 is 3992099.

9902993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4032064 + 5870929 = 2008^2 + 2423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9902993 - 22 = 9902989 is a prime.

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 9902993.

It is not an unprimeable number, because it can be changed into a prime (9902983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1871 + ... + 4827.

It is an arithmetic number, because the mean of its divisors is an integer number (1317789).

Almost surely, 29902993 is an apocalyptic number.

It is an amenable number.

9902993 is a deficient number, since it is larger than the sum of its proper divisors (639319).

9902993 is a wasteful number, since it uses less digits than its factorization.

9902993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171.

The product of its (nonzero) digits is 39366, while the sum is 41.

The square root of 9902993 is about 3146.9021274898. The cubic root of 9902993 is about 214.7445532971.

The spelling of 9902993 in words is "nine million, nine hundred two thousand, nine hundred ninety-three".

Divisors: 1 17 197 2957 3349 50269 582529 9902993