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3897888 = 253192137
BaseRepresentation
bin1110110111101000100000
321100000220020
432313220200
51444213023
6215313440
745063051
oct16675040
97300806
103897888
1122225a5
12137b880
13a66257
14736728
1551ede3
hex3b7a20

3897888 has 48 divisors (see below), whose sum is σ = 10775520. Its totient is φ = 1230336.

The previous prime is 3897877. The next prime is 3897889. The reversal of 3897888 is 8887983.

3897888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3897888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3897889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 756 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (224490).

Almost surely, 23897888 is an apocalyptic number.

3897888 is a gapful number since it is divisible by the number (38) 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 3897888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387760).

3897888 is an abundant number, since it is smaller than the sum of its proper divisors (6877632).

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

3897888 is a wasteful number, since it uses less digits than its factorization.

3897888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2161 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 3897888 is about 1974.3069670140. The cubic root of 3897888 is about 157.3776727150.

The spelling of 3897888 in words is "three million, eight hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2137 4274 6411 8548 12822 17096 25644 34192 40603 51288 68384 81206 102576 121809 162412 205152 243618 324824 487236 649648 974472 1299296 1948944 3897888