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842727996 = 2233114191693
BaseRepresentation
bin110010001110110…
…000001000111100
32011201202000111000
4302032300020330
53211214243441
6215342330300
726612032635
oct6216601074
92151660430
10842727996
113a2775020
121b6289990
13105793326
147dccc88c
154deb72b6
hex323b023c

842727996 has 96 divisors (see below), whose sum is σ = 2390572800. Its totient is φ = 254612160.

The previous prime is 842727989. The next prime is 842728031. The reversal of 842727996 is 699727248.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496926 + ... + 498618.

It is an arithmetic number, because the mean of its divisors is an integer number (24901800).

Almost surely, 2842727996 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 842727996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195286400).

842727996 is an abundant number, since it is smaller than the sum of its proper divisors (1547844804).

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

842727996 is a wasteful number, since it uses less digits than its factorization.

842727996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2128 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 842727996 is about 29029.7777463073. Note that the first 4 decimals coincide. The cubic root of 842727996 is about 944.5591090226.

The spelling of 842727996 in words is "eight hundred forty-two million, seven hundred twenty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 419 594 838 1188 1257 1676 1693 2514 3386 3771 4609 5028 5079 6772 7542 9218 10158 11313 13827 15084 15237 18436 18623 20316 22626 27654 30474 37246 41481 45252 45711 55308 55869 60948 74492 82962 91422 111738 124443 165924 167607 182844 223476 248886 335214 497772 502821 670428 709367 1005642 1418734 2011284 2128101 2837468 4256202 6384303 7803037 8512404 12768606 15606074 19152909 23409111 25537212 31212148 38305818 46818222 70227333 76611636 93636444 140454666 210681999 280909332 421363998 842727996