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985803007 = 73139711443
BaseRepresentation
bin111010110000100…
…010100011111111
32112200221222111111
4322300202203333
54004331144012
6241453102451
733300121150
oct7260424377
92480858444
10985803007
11466507432
12236187a27
131293091b7
1494cd3927
155b829ba7
hex3ac228ff

985803007 has 16 divisors (see below), whose sum is σ = 1166006272. Its totient is φ = 815585760.

The previous prime is 985802999. The next prime is 985803017. The reversal of 985803007 is 700308589.

It is a cyclic number.

It is not a de Polignac number, because 985803007 - 23 = 985802999 is a prime.

It is a super-2 number, since 2×9858030072 = 1943615137220484098, which contains 22 as substring.

It is the 31398-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985803017) by changing a digit.

It is a nontrivial repunit in base 31397.

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 15 ways as a sum of consecutive naturals, for example, 80428 + ... + 91870.

It is an arithmetic number, because the mean of its divisors is an integer number (72875392).

Almost surely, 2985803007 is an apocalyptic number.

985803007 is a deficient number, since it is larger than the sum of its proper divisors (180203265).

985803007 is a wasteful number, since it uses less digits than its factorization.

985803007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 985803007 is about 31397.5000119436. The cubic root of 985803007 is about 995.2450957200.

The spelling of 985803007 in words is "nine hundred eighty-five million, eight hundred three thousand, seven".

Divisors: 1 7 31 217 397 2779 11443 12307 80101 86149 354733 2483131 4542871 31800097 140829001 985803007