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21199952 = 2417411901
BaseRepresentation
bin101000011011…
…1110001010000
31110220001212102
41100313301100
520411344302
62034215532
7345124304
oct120676120
943801772
1021199952
1110a6a924
1271245a8
134513667
142b5bd04
151cdb702
hex1437c50

21199952 has 40 divisors (see below), whose sum is σ = 44575272. Its totient is φ = 9728000.

The previous prime is 21199949. The next prime is 21199973. The reversal of 21199952 is 25999112.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 21196816 = 56^2 + 4604^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10202 + ... + 12102.

Almost surely, 221199952 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 21199952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22287636).

21199952 is an abundant number, since it is smaller than the sum of its proper divisors (23375320).

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

21199952 is a wasteful number, since it uses less digits than its factorization.

21199952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1961 counting only the distinct ones).

The product of its digits is 14580, while the sum is 38.

The square root of 21199952 is about 4604.3405608187. The cubic root of 21199952 is about 276.7652918491.

The spelling of 21199952 in words is "twenty-one million, one hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 1901 2788 3802 5576 7604 11152 15208 30416 32317 64634 77941 129268 155882 258536 311764 517072 623528 1247056 1324997 2649994 5299988 10599976 21199952