Search a number
-
+
4488288 = 25376679
BaseRepresentation
bin10001000111110001100000
322110000202220
4101013301200
52122111123
6240111040
753102250
oct21076140
98400686
104488288
112596132
121605480
13c11bbc
1484b960
155d9ce3
hex447c60

4488288 has 48 divisors (see below), whose sum is σ = 13466880. Its totient is φ = 1282176.

The previous prime is 4488283. The next prime is 4488299. The reversal of 4488288 is 8828844.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4488283) 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, 2668 + ... + 4011.

It is an arithmetic number, because the mean of its divisors is an integer number (280560).

Almost surely, 24488288 is an apocalyptic number.

4488288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4488288 is an abundant number, since it is smaller than the sum of its proper divisors (8978592).

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

4488288 is a wasteful number, since it uses less digits than its factorization.

4488288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6691 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 4488288 is about 2118.5580001501. The cubic root of 4488288 is about 164.9530077381.

The spelling of 4488288 in words is "four million, four hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6679 13358 20037 26716 40074 46753 53432 80148 93506 106864 140259 160296 187012 213728 280518 320592 374024 561036 641184 748048 1122072 1496096 2244144 4488288