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840648942 = 234723167193
BaseRepresentation
bin110010000110110…
…100100011101110
32011120211101120000
4302012310203232
53210201231232
6215230005130
726555253360
oct6206644356
92146741500
10840648942
113a1584aa1
121b56467a6
13105215c13
147d90ad30
154dc0627c
hex321b48ee

840648942 has 160 divisors (see below), whose sum is σ = 2271532032. Its totient is φ = 227183616.

The previous prime is 840648899. The next prime is 840648959. The reversal of 840648942 is 249846048.

840648942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4355598 + ... + 4355790.

Almost surely, 2840648942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840648942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135766016).

840648942 is an abundant number, since it is smaller than the sum of its proper divisors (1430883090).

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

840648942 is a wasteful number, since it uses less digits than its factorization.

840648942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 840648942 is about 28993.9466440842. The cubic root of 840648942 is about 943.7817104852.

The spelling of 840648942 in words is "eight hundred forty million, six hundred forty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 167 189 193 207 322 334 378 386 414 483 501 567 579 621 966 1002 1134 1158 1169 1242 1351 1449 1503 1737 1863 2338 2702 2898 3006 3474 3507 3726 3841 4053 4347 4439 4509 5211 7014 7682 8106 8694 8878 9018 10422 10521 11523 12159 13041 13317 13527 15633 21042 23046 24318 26082 26634 26887 27054 31073 31266 31563 32231 34569 36477 39951 53774 62146 63126 64462 69138 72954 79902 80661 93219 94689 96693 103707 109431 119853 161322 186438 189378 193386 207414 218862 225617 239706 241983 279657 290079 311121 359559 451234 483966 559314 580158 622242 676851 719118 725949 741313 838971 870237 1353702 1451898 1482626 1677942 1740474 2030553 2177847 2223939 2516913 2610711 4061106 4355694 4447878 5033826 5189191 5221422 6091659 6671817 10378382 12183318 13343634 15567573 18274977 20015451 31135146 36549954 40030902 46702719 60046353 93405438 120092706 140108157 280216314 420324471 840648942