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2857888 = 251123353
BaseRepresentation
bin1010111001101110100000
312101012021201
422321232200
51212423023
6141130544
733202015
oct12715640
95335251
102857888
1116821a0
12b59a54
13790a77
1454570c
153b6bad
hex2b9ba0

2857888 has 48 divisors (see below), whose sum is σ = 6422976. Its totient is φ = 1239040.

The previous prime is 2857867. The next prime is 2857889. The reversal of 2857888 is 8887582.

2857888 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 (46).

It is not an unprimeable number, because it can be changed into a prime (2857889) 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, 7920 + ... + 8272.

It is an arithmetic number, because the mean of its divisors is an integer number (133812).

22857888 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 2857888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211488).

2857888 is an abundant number, since it is smaller than the sum of its proper divisors (3565088).

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

2857888 is a wasteful number, since it uses less digits than its factorization.

2857888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 286720, while the sum is 46.

The square root of 2857888 is about 1690.5289113174. The cubic root of 2857888 is about 141.9106758206.

2857888 divided by its sum of digits (46) gives a triangular number (62128 = T352).

The spelling of 2857888 in words is "two million, eight hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 353 368 506 706 736 1012 1412 2024 2824 3883 4048 5648 7766 8096 8119 11296 15532 16238 31064 32476 62128 64952 89309 124256 129904 178618 259808 357236 714472 1428944 2857888