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4845384 = 2332173389
BaseRepresentation
bin10010011110111101001000
3100010011121200
4102132331020
52220023014
6251504200
756120325
oct22367510
910104550
104845384
11280a455
121758060
1310085bb
14901b4c
1565aa09
hex49ef48

4845384 has 48 divisors (see below), whose sum is σ = 13232700. Its totient is φ = 1601664.

The previous prime is 4845367. The next prime is 4845389. The reversal of 4845384 is 4835484.

4845384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4796100 + 49284 = 2190^2 + 222^2 .

It is a super-2 number, since 2×48453842 = 46955492214912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4845389) 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, 12262 + ... + 12650.

Almost surely, 24845384 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 4845384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616350).

4845384 is an abundant number, since it is smaller than the sum of its proper divisors (8387316).

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

4845384 is a wasteful number, since it uses less digits than its factorization.

4845384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 567 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 4845384 is about 2201.2232962605. The cubic root of 4845384 is about 169.2165099662.

The spelling of 4845384 in words is "four million, eight hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 389 519 692 778 1038 1167 1384 1556 1557 2076 2334 3112 3114 3501 4152 4668 6228 7002 9336 12456 14004 28008 67297 134594 201891 269188 403782 538376 605673 807564 1211346 1615128 2422692 4845384