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3877056 = 263253127
BaseRepresentation
bin1110110010100011000000
321021222022200
432302203000
51443031211
6215033200
744645241
oct16624300
97258280
103877056
112208987
12136b800
13a59921
1472ccc8
15518b56
hex3b28c0

3877056 has 84 divisors (see below), whose sum is σ = 11411712. Its totient is φ = 1257984.

The previous prime is 3877043. The next prime is 3877057. The reversal of 3877056 is 6507783.

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3877056.

It is not an unprimeable number, because it can be changed into a prime (3877057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30465 + ... + 30591.

Almost surely, 23877056 is an apocalyptic number.

3877056 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 3877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

3877056 is an abundant number, since it is smaller than the sum of its proper divisors (7534656).

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

3877056 is a wasteful number, since it uses less digits than its factorization.

3877056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3877056 is about 1969.0241237730. The cubic root of 3877056 is about 157.0968069709.

The spelling of 3877056 in words is "three million, eight hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 127 144 159 192 212 254 288 318 381 424 477 508 576 636 762 848 954 1016 1143 1272 1524 1696 1908 2032 2286 2544 3048 3392 3816 4064 4572 5088 6096 6731 7632 8128 9144 10176 12192 13462 15264 18288 20193 24384 26924 30528 36576 40386 53848 60579 73152 80772 107696 121158 161544 215392 242316 323088 430784 484632 646176 969264 1292352 1938528 3877056