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4215312 = 243273401
BaseRepresentation
bin10000000101001000010000
321221011022200
4100011020100
52034342222
6230203200
750554353
oct20051020
97834280
104215312
11241a032
1214b3500
13b4788a
147ba29a
15583eac
hex405210

4215312 has 60 divisors (see below), whose sum is σ = 11988444. Its totient is φ = 1382400.

The previous prime is 4215301. The next prime is 4215317. The reversal of 4215312 is 2135124.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 665856 = 1884^2 + 816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4215317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10312 + ... + 10712.

Almost surely, 24215312 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 4215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994222).

4215312 is an abundant number, since it is smaller than the sum of its proper divisors (7773132).

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

4215312 is a wasteful number, since it uses less digits than its factorization.

4215312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4215312 is about 2053.1224999985. The cubic root of 4215312 is about 161.5386968076.

The spelling of 4215312 in words is "four million, two hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 401 438 584 657 802 876 1168 1203 1314 1604 1752 2406 2628 3208 3504 3609 4812 5256 6416 7218 9624 10512 14436 19248 28872 29273 57744 58546 87819 117092 175638 234184 263457 351276 468368 526914 702552 1053828 1405104 2107656 4215312