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4392288 = 2532101151
BaseRepresentation
bin10000110000010101100000
322021011002100
4100300111200
52111023123
6234050400
752222335
oct20602540
98234070
104392288
11252aa9a
121579a00
13baa2b4
1482498c
155bb643
hex430560

4392288 has 72 divisors (see below), whose sum is σ = 12697776. Its totient is φ = 1440000.

The previous prime is 4392281. The next prime is 4392313. The reversal of 4392288 is 8822934.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 (4392281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29013 + ... + 29163.

It is an arithmetic number, because the mean of its divisors is an integer number (176358).

Almost surely, 24392288 is an apocalyptic number.

4392288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888).

4392288 is an abundant number, since it is smaller than the sum of its proper divisors (8305488).

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

4392288 is a wasteful number, since it uses less digits than its factorization.

4392288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4392288 is about 2095.7786142625. The cubic root of 4392288 is about 163.7684616832.

The spelling of 4392288 in words is "four million, three hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 151 202 288 302 303 404 453 604 606 808 906 909 1208 1212 1359 1616 1812 1818 2416 2424 2718 3232 3624 3636 4832 4848 5436 7248 7272 9696 10872 14496 14544 15251 21744 29088 30502 43488 45753 61004 91506 122008 137259 183012 244016 274518 366024 488032 549036 732048 1098072 1464096 2196144 4392288