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3929856 = 28371743
BaseRepresentation
bin1110111111011100000000
321101122202020
432333130000
52001223411
6220121440
745255210
oct16773400
97348666
103929856
112244617
121396280
13a77978
14744240
15529606
hex3bf700

3929856 has 144 divisors (see below), whose sum is σ = 12950784. Its totient is φ = 1032192.

The previous prime is 3929843. The next prime is 3929857. The reversal of 3929856 is 6589293.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (116640) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3929857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91371 + ... + 91413.

It is an arithmetic number, because the mean of its divisors is an integer number (89936).

Almost surely, 23929856 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 3929856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475392).

3929856 is an abundant number, since it is smaller than the sum of its proper divisors (9020928).

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

3929856 is a wasteful number, since it uses less digits than its factorization.

3929856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 3929856 is about 1982.3864406316. The cubic root of 3929856 is about 157.8067390832.

The spelling of 3929856 in words is "three million, nine hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 43 48 51 56 64 68 84 86 96 102 112 119 128 129 136 168 172 192 204 224 238 256 258 272 301 336 344 357 384 408 448 476 516 544 602 672 688 714 731 768 816 896 903 952 1032 1088 1204 1344 1376 1428 1462 1632 1792 1806 1904 2064 2176 2193 2408 2688 2752 2856 2924 3264 3612 3808 4128 4352 4386 4816 5117 5376 5504 5712 5848 6528 7224 7616 8256 8772 9632 10234 11008 11424 11696 13056 14448 15232 15351 16512 17544 19264 20468 22848 23392 28896 30464 30702 33024 35088 38528 40936 45696 46784 57792 61404 70176 77056 81872 91392 93568 115584 122808 140352 163744 187136 231168 245616 280704 327488 491232 561408 654976 982464 1309952 1964928 3929856