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4216368 = 2431329233
BaseRepresentation
bin10000000101011000110000
321221012202210
4100011120300
52034410433
6230212120
750560422
oct20053060
97835683
104216368
11241a902
1214b4040
13b481c0
147ba812
15584463
hex405630

4216368 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1247232.

The previous prime is 4216367. The next prime is 4216393. The reversal of 4216368 is 8636124.

It is a super-2 number, since 2×42163682 = 35555518222848, which contains 22 as substring.

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 (4216363) 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 15 ways as a sum of consecutive naturals, for example, 17980 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 24216368 is an apocalyptic number.

4216368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4216368 is an abundant number, since it is smaller than the sum of its proper divisors (7970352).

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

4216368 is a wasteful number, since it uses less digits than its factorization.

4216368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 4216368 is about 2053.3796531572. The cubic root of 4216368 is about 161.5521849845.

The spelling of 4216368 in words is "four million, two hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 233 312 348 377 464 466 624 696 699 754 932 1131 1392 1398 1508 1864 2262 2796 3016 3029 3728 4524 5592 6032 6058 6757 9048 9087 11184 12116 13514 18096 18174 20271 24232 27028 36348 40542 48464 54056 72696 81084 87841 108112 145392 162168 175682 263523 324336 351364 527046 702728 1054092 1405456 2108184 4216368