Search a number
-
+
4216752 = 243343227
BaseRepresentation
bin10000000101011110110000
321221020022000
4100011132300
52034414002
6230214000
750561511
oct20053660
97836260
104216752
112420121
1214b4300
13b48427
147baa08
1558461c
hex4057b0

4216752 has 80 divisors (see below), whose sum is σ = 12439680. Its totient is φ = 1366848.

The previous prime is 4216741. The next prime is 4216753. The reversal of 4216752 is 2576124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4216753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18463 + ... + 18689.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

Almost surely, 24216752 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 4216752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219840).

4216752 is an abundant number, since it is smaller than the sum of its proper divisors (8222928).

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

4216752 is a wasteful number, since it uses less digits than its factorization.

4216752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 4216752 is about 2053.4731554126. The cubic root of 4216752 is about 161.5570892177.

The spelling of 4216752 in words is "four million, two hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 227 258 344 387 432 454 516 681 688 774 908 1032 1161 1362 1548 1816 2043 2064 2322 2724 3096 3632 4086 4644 5448 6129 6192 8172 9288 9761 10896 12258 16344 18576 19522 24516 29283 32688 39044 49032 58566 78088 87849 98064 117132 156176 175698 234264 263547 351396 468528 527094 702792 1054188 1405584 2108376 4216752