Search a number
-
+
4218048 = 26332441
BaseRepresentation
bin10000000101110011000000
321221022002000
4100011303000
52034434143
6230224000
750565342
oct20056300
97838060
104218048
11242109a
1214b5000
13b48bb3
147bb292
15584bd3
hex405cc0

4218048 has 56 divisors (see below), whose sum is σ = 12405360. Its totient is φ = 1405440.

The previous prime is 4218031. The next prime is 4218061. The reversal of 4218048 is 8408124.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 508 + ... + 2948.

Almost surely, 24218048 is an apocalyptic number.

4218048 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 4218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202680).

4218048 is an abundant number, since it is smaller than the sum of its proper divisors (8187312).

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

4218048 is a wasteful number, since it uses less digits than its factorization.

4218048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4218048 is about 2053.7886940968. The cubic root of 4218048 is about 161.5736388069.

The spelling of 4218048 in words is "four million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2441 4882 7323 9764 14646 19528 21969 29292 39056 43938 58584 65907 78112 87876 117168 131814 156224 175752 234336 263628 351504 468672 527256 703008 1054512 1406016 2109024 4218048