Search a number
-
+
21886848 = 27342111
BaseRepresentation
bin101001101111…
…1011110000000
31112011222010000
41103133132000
521100334343
62101040000
7354015024
oct123373600
945158100
1021886848
1111399a05
1273b6000
1346c41c9
142c9a384
151dc4ed3
hex14df780

21886848 has 80 divisors (see below), whose sum is σ = 65165760. Its totient is φ = 7292160.

The previous prime is 21886847. The next prime is 21886859. The reversal of 21886848 is 84868812.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21886847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9313 + ... + 11423.

It is an arithmetic number, because the mean of its divisors is an integer number (814572).

Almost surely, 221886848 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 21886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32582880).

21886848 is an abundant number, since it is smaller than the sum of its proper divisors (43278912).

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

21886848 is an equidigital number, since it uses as much as digits as its factorization.

21886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2116 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 21886848 is about 4678.3381664860. The cubic root of 21886848 is about 279.7227186989.

The spelling of 21886848 in words is "twenty-one million, eight hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2111 2592 3456 4222 5184 6333 8444 10368 12666 16888 18999 25332 33776 37998 50664 56997 67552 75996 101328 113994 135104 151992 170991 202656 227988 270208 303984 341982 405312 455976 607968 683964 810624 911952 1215936 1367928 1823904 2431872 2735856 3647808 5471712 7295616 10943424 21886848