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4283856 = 243271419
BaseRepresentation
bin10000010101110111010000
322001122100100
4100111313100
52044040411
6231452400
751261243
oct20256720
98048310
104283856
112466585
121527100
13b6cb35
147d725a
15599456
hex415dd0

4283856 has 60 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1404480.

The previous prime is 4283849. The next prime is 4283861. The reversal of 4283856 is 6583824.

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 a self number, because there is not a number n which added to its sum of digits gives 4283856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10015 + ... + 10433.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 24283856 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 4283856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4283856 is an abundant number, since it is smaller than the sum of its proper divisors (7902864).

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

4283856 is a wasteful number, since it uses less digits than its factorization.

4283856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4283856 is about 2069.7478107248. The cubic root of 4283856 is about 162.4095717784.

Subtracting 4283856 from its reverse (6583824), we obtain a cube (2299968 = 1323).

The spelling of 4283856 in words is "four million, two hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 419 426 568 639 838 852 1136 1257 1278 1676 1704 2514 2556 3352 3408 3771 5028 5112 6704 7542 10056 10224 15084 20112 29749 30168 59498 60336 89247 118996 178494 237992 267741 356988 475984 535482 713976 1070964 1427952 2141928 4283856