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832149045 = 34571367337
BaseRepresentation
bin110001100110011…
…001011000110101
32010222211112220000
4301212121120311
53201012232140
6214323501513
726423102340
oct6146313065
92128745800
10832149045
113977a9992
121b2827899
1310352b0b0
147c737457
154d0c7a30
hex31999635

832149045 has 160 divisors (see below), whose sum is σ = 1868875008. Its totient is φ = 344881152.

The previous prime is 832149013. The next prime is 832149049. The reversal of 832149045 is 540941238.

832149045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 832149045 - 25 = 832149013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832149049) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2469117 + ... + 2469453.

Almost surely, 2832149045 is an apocalyptic number.

It is an amenable number.

832149045 is an abundant number, since it is smaller than the sum of its proper divisors (1036725963).

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

832149045 is a wasteful number, since it uses less digits than its factorization.

832149045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 832149045 is about 28846.9936908510. The cubic root of 832149045 is about 940.5900343437.

The spelling of 832149045 in words is "eight hundred thirty-two million, one hundred forty-nine thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 67 81 91 105 117 135 189 195 201 273 315 335 337 351 405 455 469 567 585 603 819 871 945 1005 1011 1053 1365 1407 1685 1755 1809 2345 2359 2457 2613 2835 3015 3033 4095 4221 4355 4381 5055 5265 5427 6097 7035 7077 7371 7839 9045 9099 11795 12285 12663 13065 13143 15165 18291 21105 21231 21905 22579 23517 27135 27297 30485 30667 35385 36855 37989 39195 39429 45495 54873 63315 63693 65715 67737 70551 91455 92001 106155 112895 117585 118287 136485 153335 158053 164619 189945 191079 197145 203211 274365 276003 293527 318465 338685 352755 354861 460005 474159 493857 591435 609633 790265 823095 828009 880581 955395 1016055 1380015 1422477 1467635 1774305 1828899 2054689 2370795 2469285 2484027 2641743 3048165 4140045 4267431 4402905 6164067 7112385 7925229 9144495 10273445 12420135 12802293 13208715 18492201 21337155 23775687 30820335 39626145 55476603 64011465 92461005 118878435 166429809 277383015 832149045