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942840192 = 27371918461
BaseRepresentation
bin111000001100101…
…001100110000000
32102201010020121010
4320030221212000
53412331341232
6233320200520
732236003140
oct7014514600
92381106533
10942840192
11444232878
12223909140
13120445c08
148d30c920
1557b900cc
hex38329980

942840192 has 128 divisors (see below), whose sum is σ = 3012998400. Its totient is φ = 255191040.

The previous prime is 942840191. The next prime is 942840233. The reversal of 942840192 is 291048249.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 942840192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942840191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41842 + ... + 60302.

It is an arithmetic number, because the mean of its divisors is an integer number (23539050).

Almost surely, 2942840192 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 942840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506499200).

942840192 is an abundant number, since it is smaller than the sum of its proper divisors (2070158208).

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

942840192 is a wasteful number, since it uses less digits than its factorization.

942840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504 (or 18492 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 942840192 is about 30705.7029230728. The cubic root of 942840192 is about 980.5717169388.

The spelling of 942840192 in words is "nine hundred forty-two million, eight hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 18461 25536 36922 51072 55383 73844 110766 129227 147688 221532 258454 295376 350759 387681 443064 516908 590752 701518 775362 886128 1033816 1052277 1181504 1403036 1550724 1772256 2067632 2104554 2363008 2455313 2806072 3101448 3544512 4135264 4209108 4910626 5612144 6202896 7089024 7365939 8270528 8418216 9821252 11224288 12405792 14731878 16541056 16836432 19642504 22448576 24811584 29463756 33672864 39285008 44897152 49623168 58927512 67345728 78570016 117855024 134691456 157140032 235710048 314280064 471420096 942840192