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993408425 = 521135932
BaseRepresentation
bin111011001101100…
…011010110101001
32120020021101011122
4323031203112221
54013303032200
6242324105025
733421555322
oct7315432651
92506241148
10993408425
1146a8314a9
12238835175
1312aa6cb49
1495d13449
155c32d385
hex3b3635a9

993408425 has 18 divisors (see below), whose sum is σ = 1244826762. Its totient is φ = 786365440.

The previous prime is 993408421. The next prime is 993408457. The reversal of 993408425 is 524804399.

It can be written as a sum of positive squares in 9 ways, for example, as 456420496 + 536987929 = 21364^2 + 23173^2 .

It is not a de Polignac number, because 993408425 - 22 = 993408421 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (993408421) 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 17 ways as a sum of consecutive naturals, for example, 1674929 + ... + 1675521.

Almost surely, 2993408425 is an apocalyptic number.

It is an amenable number.

993408425 is a deficient number, since it is larger than the sum of its proper divisors (251418337).

993408425 is an equidigital number, since it uses as much as digits as its factorization.

993408425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 993408425 is about 31518.3823347582. The cubic root of 993408425 is about 997.7979629253.

The spelling of 993408425 in words is "nine hundred ninety-three million, four hundred eight thousand, four hundred twenty-five".

Divisors: 1 5 25 113 565 593 2825 2965 14825 67009 335045 351649 1675225 1758245 8791225 39736337 198681685 993408425