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844036842 = 2311172332707
BaseRepresentation
bin110010010011101…
…111101011101010
32011211012111212210
4302103233223222
53212033134332
6215430345550
726626123545
oct6223575352
92154174783
10844036842
113a3489410
121b67bb2b6
13105b30cac
148014d85c
154e174ecc
hex324efaea

844036842 has 64 divisors (see below), whose sum is σ = 2034699264. Its totient is φ = 230250240.

The previous prime is 844036841. The next prime is 844036883. The reversal of 844036842 is 248630448.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 844036842.

It is not an unprimeable number, because it can be changed into a prime (844036841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9453 + ... + 42159.

It is an arithmetic number, because the mean of its divisors is an integer number (31792176).

Almost surely, 2844036842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844036842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017349632).

844036842 is an abundant number, since it is smaller than the sum of its proper divisors (1190662422).

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

844036842 is a wasteful number, since it uses less digits than its factorization.

844036842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32763.

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 844036842 is about 29052.3121627178. The cubic root of 844036842 is about 945.0478562590.

The spelling of 844036842 in words is "eight hundred forty-four million, thirty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 374 391 506 561 759 782 1122 1173 1518 2346 4301 8602 12903 25806 32707 65414 98121 196242 359777 556019 719554 752261 1079331 1112038 1504522 1668057 2158662 2256783 3336114 4513566 6116209 8274871 12232418 12788437 16549742 18348627 24824613 25576874 36697254 38365311 49649226 76730622 140672807 281345614 422018421 844036842