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993928041 = 32110436449
BaseRepresentation
bin111011001111100…
…010001101101001
32120021020202221200
4323033202031221
54013421144131
6242343154413
733426151251
oct7317421551
92507222850
10993928041
11470056937
12238a45a09
1312abc2502
149600a961
155c3d22e6
hex3b3e2369

993928041 has 6 divisors (see below), whose sum is σ = 1435673850. Its totient is φ = 662618688.

The previous prime is 993928037. The next prime is 993928063. The reversal of 993928041 is 140829399.

It can be written as a sum of positive squares in only one way, i.e., 573842025 + 420086016 = 23955^2 + 20496^2 .

It is not a de Polignac number, because 993928041 - 22 = 993928037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (993928021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55218216 + ... + 55218233.

It is an arithmetic number, because the mean of its divisors is an integer number (239278975).

Almost surely, 2993928041 is an apocalyptic number.

It is an amenable number.

993928041 is a deficient number, since it is larger than the sum of its proper divisors (441745809).

993928041 is a wasteful number, since it uses less digits than its factorization.

993928041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110436455 (or 110436452 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 993928041 is about 31526.6243197714. The cubic root of 993928041 is about 997.9719032710.

The spelling of 993928041 in words is "nine hundred ninety-three million, nine hundred twenty-eight thousand, forty-one".

Divisors: 1 3 9 110436449 331309347 993928041