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4388064 = 253431063
BaseRepresentation
bin10000101111010011100000
322020221021220
4100233103200
52110404224
6234015040
752204122
oct20572340
98227256
104388064
1125278aa
121577480
13ba83b5
14823212
155ba279
hex42f4e0

4388064 has 48 divisors (see below), whose sum is σ = 11797632. Its totient is φ = 1427328.

The previous prime is 4388063. The next prime is 4388071. The reversal of 4388064 is 4608834.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4388063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3597 + ... + 4659.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 24388064 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 4388064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898816).

4388064 is an abundant number, since it is smaller than the sum of its proper divisors (7409568).

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

4388064 is a wasteful number, since it uses less digits than its factorization.

4388064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4388064 is about 2094.7706318354. The cubic root of 4388064 is about 163.7159469231.

The spelling of 4388064 in words is "four million, three hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1063 1376 2064 2126 3189 4128 4252 6378 8504 12756 17008 25512 34016 45709 51024 91418 102048 137127 182836 274254 365672 548508 731344 1097016 1462688 2194032 4388064