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4385745684 = 223273222861
BaseRepresentation
bin1000001010110100…
…10010101100010100
3102022122112222001100
410011122102230110
532440222330214
62003105430100
7213453136365
oct40532225424
912278488040
104385745684
111950703711
12a2493b330
1354b811bb8
142d8687b6c
151aa070309
hex105692b14

4385745684 has 54 divisors (see below), whose sum is σ = 11240628126. Its totient is φ = 1441825920.

The previous prime is 4385745673. The next prime is 4385745701. The reversal of 4385745684 is 4865475834.

It is a happy number.

4385745684 is a `hidden beast` number, since 4 + 3 + 8 + 5 + 74 + 568 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1938464784 + 2447280900 = 44028^2 + 49470^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4385745684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180414 + ... + 203274.

Almost surely, 24385745684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4385745684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620314063).

4385745684 is an abundant number, since it is smaller than the sum of its proper divisors (6854882442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4385745684 is a wasteful number, since it uses less digits than its factorization.

4385745684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23017 (or 22939 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 4385745684 is about 66224.9626953462. The cubic root of 4385745684 is about 1636.8711020001.

The spelling of 4385745684 in words is "four billion, three hundred eighty-five million, seven hundred forty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5329 10658 15987 21316 22861 31974 45722 47961 63948 68583 91444 95922 137166 191844 205749 274332 411498 822996 1668853 3337706 5006559 6675412 10013118 15019677 20026236 30039354 60078708 121826269 243652538 365478807 487305076 730957614 1096436421 1461915228 2192872842 4385745684