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2858768 = 241137439
BaseRepresentation
bin1010111001111100010000
312101020111022
422321330100
51212440033
6141135012
733204413
oct12717420
95336438
102858768
111682920
12b5a468
137912a3
14545b7a
153b7098
hex2b9f10

2858768 has 40 divisors (see below), whose sum is σ = 6219840. Its totient is φ = 1261440.

The previous prime is 2858749. The next prime is 2858777. The reversal of 2858768 is 8678582.

2858768 is digitally balanced in base 2 and base 5, because in such bases 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 (44).

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 7 ways as a sum of consecutive naturals, for example, 6293 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

22858768 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 2858768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109920).

2858768 is an abundant number, since it is smaller than the sum of its proper divisors (3361072).

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

2858768 is a wasteful number, since it uses less digits than its factorization.

2858768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 2858768 is about 1690.7891648576. The cubic root of 2858768 is about 141.9252400232.

The spelling of 2858768 in words is "two million, eight hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 439 592 814 878 1628 1756 3256 3512 4829 6512 7024 9658 16243 19316 32486 38632 64972 77264 129944 178673 259888 357346 714692 1429384 2858768