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4287424 = 26312161
BaseRepresentation
bin10000010110101111000000
322001211020111
4100112233000
52044144144
6231521104
751304531
oct20265700
98054214
104287424
112469229
121529194
13b7164b
147d8688
1559a534
hex416bc0

4287424 has 28 divisors (see below), whose sum is σ = 8786368. Its totient is φ = 2073600.

The previous prime is 4287419. The next prime is 4287427. The reversal of 4287424 is 4247824.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 904 + ... + 3064.

Almost surely, 24287424 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 4287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393184).

4287424 is an abundant number, since it is smaller than the sum of its proper divisors (4498944).

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

4287424 is a wasteful number, since it uses less digits than its factorization.

4287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 4287424 is about 2070.6095720826. The cubic root of 4287424 is about 162.4546492776.

The spelling of 4287424 in words is "four million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2161 4322 8644 17288 34576 66991 69152 133982 138304 267964 535928 1071856 2143712 4287424