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840249936 = 2434648341
BaseRepresentation
bin110010000101010…
…011001001010000
32011120002010020000
4302011103021100
53210100444221
6215213250000
726552002161
oct6205231120
92146063200
10840249936
113a1332239
121b5493900
13105106416
147d845768
154db77e26
hex32153250

840249936 has 50 divisors (see below), whose sum is σ = 2431930842. Its totient is φ = 280082880.

The previous prime is 840249899. The next prime is 840249967. The reversal of 840249936 is 639942048.

It can be written as a sum of positive squares in only one way, i.e., 573123600 + 267126336 = 23940^2 + 16344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 840249891 and 840249900.

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 9 ways as a sum of consecutive naturals, for example, 322875 + ... + 325466.

Almost surely, 2840249936 is an apocalyptic number.

It is an amenable number.

840249936 is an abundant number, since it is smaller than the sum of its proper divisors (1591680906).

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

840249936 is a wasteful number, since it uses less digits than its factorization.

840249936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648361 (or 648346 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 840249936 is about 28987.0649773308. The cubic root of 840249936 is about 943.6323678598.

The spelling of 840249936 in words is "eight hundred forty million, two hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 648341 1296682 1945023 2593364 3890046 5186728 5835069 7780092 10373456 11670138 15560184 17505207 23340276 31120368 35010414 46680552 52515621 70020828 93361104 105031242 140041656 210062484 280083312 420124968 840249936