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993839959 = 72341150559
BaseRepresentation
bin111011001111001…
…100101101010111
32120021002022010101
4323033030231113
54013410334314
6242341234531
733425333410
oct7317145527
92507068111
10993839959
1146aaa6742
12238a02a47
1312ab913a8
1495dc6807
155c3b6174
hex3b3ccb57

993839959 has 16 divisors (see below), whose sum is σ = 1214115840. Its totient is φ = 794946240.

The previous prime is 993839939. The next prime is 993840007. The reversal of 993839959 is 959938399.

It is a de Polignac number, because none of the positive numbers 2k-993839959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993839959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993839929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68679 + ... + 81880.

It is an arithmetic number, because the mean of its divisors is an integer number (75882240).

Almost surely, 2993839959 is an apocalyptic number.

993839959 is a deficient number, since it is larger than the sum of its proper divisors (220275881).

993839959 is a wasteful number, since it uses less digits than its factorization.

993839959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150630.

The product of its digits is 21257640, while the sum is 64.

The square root of 993839959 is about 31525.2273425585. The cubic root of 993839959 is about 997.9424222776.

The spelling of 993839959 in words is "nine hundred ninety-three million, eight hundred thirty-nine thousand, nine hundred fifty-nine".

Divisors: 1 7 23 41 161 287 943 6601 150559 1053913 3462857 6172919 24239999 43210433 141977137 993839959