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4213312 = 26431531
BaseRepresentation
bin10000000100101001000000
321221001120121
4100010221000
52034311222
6230150024
750545465
oct20045100
97831517
104213312
112418584
1214b2314
13b469ac
147b966c
155835c7
hex404a40

4213312 has 28 divisors (see below), whose sum is σ = 8560816. Its totient is φ = 2056320.

The previous prime is 4213309. The next prime is 4213333. The reversal of 4213312 is 2133124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1987 + ... + 3517.

Almost surely, 24213312 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 4213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280408).

4213312 is an abundant number, since it is smaller than the sum of its proper divisors (4347504).

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

4213312 is a wasteful number, since it uses less digits than its factorization.

4213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1576 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 4213312 is about 2052.6353792138. The cubic root of 4213312 is about 161.5131448435.

Adding to 4213312 its reverse (2133124), we get a palindrome (6346436).

The spelling of 4213312 in words is "four million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1531 2752 3062 6124 12248 24496 48992 65833 97984 131666 263332 526664 1053328 2106656 4213312