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3863808 = 28331343
BaseRepresentation
bin1110101111010100000000
321021022011000
432233110000
51442120213
6214452000
744561514
oct16572400
97238130
103863808
1121a9a33
121364000
13a538a0
14728144
15514c73
hex3af500

3863808 has 144 divisors (see below), whose sum is σ = 12591040. Its totient is φ = 1161216.

The previous prime is 3863803. The next prime is 3863831. The reversal of 3863808 is 8083683.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863803) 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, 89835 + ... + 89877.

Almost surely, 23863808 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 3863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295520).

3863808 is an abundant number, since it is smaller than the sum of its proper divisors (8727232).

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

3863808 is a wasteful number, since it uses less digits than its factorization.

3863808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3863808 is about 1965.6571420266. The cubic root of 3863808 is about 156.9176681660.

The spelling of 3863808 in words is "three million, eight hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 43 48 52 54 64 72 78 86 96 104 108 117 128 129 144 156 172 192 208 216 234 256 258 288 312 344 351 384 387 416 432 468 516 559 576 624 688 702 768 774 832 864 936 1032 1118 1152 1161 1248 1376 1404 1548 1664 1677 1728 1872 2064 2236 2304 2322 2496 2752 2808 3096 3328 3354 3456 3744 4128 4472 4644 4992 5031 5504 5616 6192 6708 6912 7488 8256 8944 9288 9984 10062 11008 11232 12384 13416 14976 15093 16512 17888 18576 20124 22464 24768 26832 29952 30186 33024 35776 37152 40248 44928 49536 53664 60372 71552 74304 80496 89856 99072 107328 120744 143104 148608 160992 214656 241488 297216 321984 429312 482976 643968 965952 1287936 1931904 3863808