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3875256 = 2333711233
BaseRepresentation
bin1110110010000110111000
321021212212000
432302012320
51443002011
6215021000
744640060
oct16620670
97255760
103875256
1122075a0
12136a760
13a58b68
1472c3a0
15518356
hex3b21b8

3875256 has 128 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1002240.

The previous prime is 3875243. The next prime is 3875273. The reversal of 3875256 is 6525783.

3875256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3875256.

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, 16516 + ... + 16748.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23875256 is an apocalyptic number.

3875256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3875256 is an abundant number, since it is smaller than the sum of its proper divisors (9603144).

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

3875256 is a wasteful number, since it uses less digits than its factorization.

3875256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3875256 is about 1968.5669914941. The cubic root of 3875256 is about 157.0724914399.

The spelling of 3875256 in words is "three million, eight hundred seventy-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 233 252 264 297 308 378 396 462 466 504 594 616 693 699 756 792 924 932 1188 1386 1398 1512 1631 1848 1864 2079 2097 2376 2563 2772 2796 3262 4158 4194 4893 5126 5544 5592 6291 6524 7689 8316 8388 9786 10252 12582 13048 14679 15378 16632 16776 17941 19572 20504 23067 25164 29358 30756 35882 39144 44037 46134 50328 53823 58716 61512 69201 71764 88074 92268 107646 117432 138402 143528 161469 176148 184536 215292 276804 322938 352296 430584 484407 553608 645876 968814 1291752 1937628 3875256