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4287444 = 2237431187
BaseRepresentation
bin10000010110101111010100
322001211021020
4100112233110
52044144234
6231521140
751304560
oct20265724
98054236
104287444
112469247
1215291b0
13b71665
147d86a0
1559a549
hex416bd4

4287444 has 48 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 1195488.

The previous prime is 4287431. The next prime is 4287457. The reversal of 4287444 is 4447824.

It is an interprime number because it is at equal distance from previous prime (4287431) and next prime (4287457).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3019 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 24287444 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 4287444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464).

4287444 is an abundant number, since it is smaller than the sum of its proper divisors (7421484).

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

4287444 is a wasteful number, since it uses less digits than its factorization.

4287444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 4287444 is about 2070.6144015726. The cubic root of 4287444 is about 162.4549018836.

The spelling of 4287444 in words is "four million, two hundred eighty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1187 1204 1806 2374 3561 3612 4748 7122 8309 14244 16618 24927 33236 49854 51041 99708 102082 153123 204164 306246 357287 612492 714574 1071861 1429148 2143722 4287444