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4283424 = 2532107139
BaseRepresentation
bin10000010101110000100000
322001121202100
4100111300200
52044032144
6231450400
751260055
oct20256040
98047670
104283424
112466222
121526a00
13b6c892
147d702c
15599269
hex415c20

4283424 has 72 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1404288.

The previous prime is 4283413. The next prime is 4283429. The reversal of 4283424 is 4243824.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (4283429) 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, 30747 + ... + 30885.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 24283424 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 4283424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4283424 is an abundant number, since it is smaller than the sum of its proper divisors (8099856).

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

4283424 is a wasteful number, since it uses less digits than its factorization.

4283424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4283424 is about 2069.6434475532. The cubic root of 4283424 is about 162.4041122661.

The spelling of 4283424 in words is "four million, two hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 139 144 214 278 288 321 417 428 556 642 834 856 963 1112 1251 1284 1668 1712 1926 2224 2502 2568 3336 3424 3852 4448 5004 5136 6672 7704 10008 10272 13344 14873 15408 20016 29746 30816 40032 44619 59492 89238 118984 133857 178476 237968 267714 356952 475936 535428 713904 1070856 1427808 2141712 4283424