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3782856 = 2337112389
BaseRepresentation
bin1110011011100011001000
321010012002210
432123203020
51432022411
6213025120
744103510
oct16334310
97105083
103782856
112154130
1213251a0
13a25a9c
14706840
154eaca6
hex39b8c8

3782856 has 128 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 929280.

The previous prime is 3782819. The next prime is 3782869. The reversal of 3782856 is 6582873.

3782856 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42460 + ... + 42548.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

Almost surely, 23782856 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 3782856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

3782856 is an abundant number, since it is smaller than the sum of its proper divisors (8658744).

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

3782856 is a wasteful number, since it uses less digits than its factorization.

3782856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 3782856 is about 1944.9565547847. The cubic root of 3782856 is about 155.8140453566.

The spelling of 3782856 in words is "three million, seven hundred eighty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 89 92 132 138 154 161 168 178 184 231 253 264 267 276 308 322 356 462 483 506 534 552 616 623 644 712 759 924 966 979 1012 1068 1246 1288 1518 1771 1848 1869 1932 1958 2024 2047 2136 2492 2937 3036 3542 3738 3864 3916 4094 4984 5313 5874 6072 6141 6853 7084 7476 7832 8188 10626 11748 12282 13706 14168 14329 14952 16376 20559 21252 22517 23496 24564 27412 28658 41118 42504 42987 45034 49128 54824 57316 67551 82236 85974 90068 114632 135102 157619 164472 171948 180136 270204 315238 343896 472857 540408 630476 945714 1260952 1891428 3782856