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201942405 = 32571743877
BaseRepresentation
bin11000000100101…
…10010110000101
3112001222201220100
430002112112011
5403144124110
632012154313
75001324240
oct1402262605
9461881810
10201942405
11a3a9a355
1257768999
1332ab7462
141cb6a257
1512adebc0
hexc096585

201942405 has 96 divisors (see below), whose sum is σ = 433914624. Its totient is φ = 84768768.

The previous prime is 201942383. The next prime is 201942421. The reversal of 201942405 is 504249102.

It is not a de Polignac number, because 201942405 - 28 = 201942149 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229827 + ... + 230703.

It is an arithmetic number, because the mean of its divisors is an integer number (4519944).

Almost surely, 2201942405 is an apocalyptic number.

It is an amenable number.

201942405 is an abundant number, since it is smaller than the sum of its proper divisors (231972219).

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

201942405 is a wasteful number, since it uses less digits than its factorization.

201942405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 201942405 is about 14210.6440740735. The cubic root of 201942405 is about 586.6906604268.

The spelling of 201942405 in words is "two hundred one million, nine hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 43 45 51 63 85 105 119 129 153 215 255 301 315 357 387 595 645 731 765 877 903 1071 1505 1785 1935 2193 2631 2709 3655 4385 4515 5117 5355 6139 6579 7893 10965 13155 13545 14909 15351 18417 25585 30695 32895 37711 39465 44727 46053 55251 74545 76755 92085 104363 113133 134181 188555 223635 230265 263977 276255 313089 339399 521815 565665 641087 670905 791931 939267 1319885 1565445 1696995 1923261 2375793 3205435 3959655 4487609 4696335 5769783 9616305 11878965 13462827 22438045 28848915 40388481 67314135 201942405