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605685444 = 2237134312899
BaseRepresentation
bin100100000110100…
…000011011000100
31120012201000020020
4210012200123010
52220023413234
6140033535140
721003145530
oct4406403304
91505630206
10605685444
11290991491
1214aa144b0
1398639670
145a626bc0
1538292549
hex241a06c4

605685444 has 96 divisors (see below), whose sum is σ = 1779993600. Its totient is φ = 156014208.

The previous prime is 605685419. The next prime is 605685481. The reversal of 605685444 is 444586506.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 605685396 and 605685405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40507 + ... + 53405.

It is an arithmetic number, because the mean of its divisors is an integer number (18541600).

Almost surely, 2605685444 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 605685444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889996800).

605685444 is an abundant number, since it is smaller than the sum of its proper divisors (1174308156).

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

605685444 is a wasteful number, since it uses less digits than its factorization.

605685444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12969 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 605685444 is about 24610.6774388679. The cubic root of 605685444 is about 846.0883442552.

The spelling of 605685444 in words is "six hundred five million, six hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1677 1806 2236 3354 3612 3913 6708 7826 11739 12899 15652 23478 25798 38697 46956 51596 77394 90293 154788 167687 180586 270879 335374 361172 503061 541758 554657 670748 1006122 1083516 1109314 1173809 1663971 2012244 2218628 2347618 3327942 3521427 3882599 4695236 6655884 7042854 7210541 7765198 11647797 14085708 14421082 15530396 21631623 23295594 28842164 43263246 46591188 50473787 86526492 100947574 151421361 201895148 302842722 605685444