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213903942 = 23729612879
BaseRepresentation
bin11001011111111…
…10101001000110
3112220111110001020
430233332221012
5414224411232
633120412010
75205103440
oct1457765106
9486443036
10213903942
11aa81a21a
125b777006
1335414aa5
14205a1490
1513ba3e2c
hexcbfea46

213903942 has 64 divisors (see below), whose sum is σ = 514252800. Its totient is φ = 58020480.

The previous prime is 213903917. The next prime is 213903959. The reversal of 213903942 is 249309312.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72859 + ... + 75737.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2213903942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213903942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

213903942 is an abundant number, since it is smaller than the sum of its proper divisors (300348858).

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

213903942 is a wasteful number, since it uses less digits than its factorization.

213903942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 213903942 is about 14625.4552749649. The cubic root of 213903942 is about 598.0528936857.

The spelling of 213903942 in words is "two hundred thirteen million, nine hundred three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 61 87 122 174 183 203 366 406 427 609 854 1218 1281 1769 2562 2879 3538 5307 5758 8637 10614 12383 17274 20153 24766 37149 40306 60459 74298 83491 120918 166982 175619 250473 351238 500946 526857 584437 1053714 1168874 1229333 1753311 2458666 3506622 3687999 5092951 7375998 10185902 15278853 30557706 35650657 71301314 106951971 213903942