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21284952 = 23313174013
BaseRepresentation
bin101000100110…
…0100001011000
31111001101110120
41101030201120
520422104302
62040113240
7345630153
oct121144130
944041416
1021284952
1111018777
127165820
134543260
142b80c9a
151d069bc
hex144c858

21284952 has 64 divisors (see below), whose sum is σ = 60691680. Its totient is φ = 6162432.

The previous prime is 21284947. The next prime is 21284983. The reversal of 21284952 is 25948212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3298 + ... + 7310.

Almost surely, 221284952 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 21284952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345840).

21284952 is an abundant number, since it is smaller than the sum of its proper divisors (39406728).

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

21284952 is a wasteful number, since it uses less digits than its factorization.

21284952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4048 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 21284952 is about 4613.5617477173. The cubic root of 21284952 is about 277.1346901520.

The spelling of 21284952 in words is "twenty-one million, two hundred eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 4013 5304 8026 12039 16052 24078 32104 48156 52169 68221 96312 104338 136442 156507 204663 208676 272884 313014 409326 417352 545768 626028 818652 886873 1252056 1637304 1773746 2660619 3547492 5321238 7094984 10642476 21284952