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993857047 = 13711036577
BaseRepresentation
bin111011001111010…
…000111000010111
32120021010011120021
4323033100320113
54013411411142
6242341450011
733425434261
oct7317207027
92507104507
10993857047
11470008567
12238a10907
1312ab990c1
1495dccb31
155c3bb267
hex3b3d0e17

993857047 has 8 divisors (see below), whose sum is σ = 1002171456. Its totient is φ = 985558272.

The previous prime is 993857021. The next prime is 993857083. The reversal of 993857047 is 740758399.

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

It is not a de Polignac number, because 993857047 - 211 = 993854999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993856985 and 993857003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993857747) 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 7 ways as a sum of consecutive naturals, for example, 147823 + ... + 154399.

It is an arithmetic number, because the mean of its divisors is an integer number (125271432).

Almost surely, 2993857047 is an apocalyptic number.

993857047 is a deficient number, since it is larger than the sum of its proper divisors (8314409).

993857047 is a wasteful number, since it uses less digits than its factorization.

993857047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817.

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 993857047 is about 31525.4983624367. The cubic root of 993857047 is about 997.9481417573.

The spelling of 993857047 in words is "nine hundred ninety-three million, eight hundred fifty-seven thousand, forty-seven".

Divisors: 1 137 1103 6577 151111 901049 7254431 993857047