Search a number
-
+
21332952 = 23321272333
BaseRepresentation
bin101000101100…
…0001111011000
31111010211022100
41101120033120
520430123302
62041123400
7346220124
oct121301730
944124270
1021332952
1111050843
127189560
13455c064
142b94584
151d15d1c
hex14583d8

21332952 has 48 divisors (see below), whose sum is σ = 58256640. Its totient is φ = 7051968.

The previous prime is 21332939. The next prime is 21332959. The reversal of 21332952 is 25923312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332959) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7978 + ... + 10310.

It is an arithmetic number, because the mean of its divisors is an integer number (1213680).

Almost surely, 221332952 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 21332952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29128320).

21332952 is an abundant number, since it is smaller than the sum of its proper divisors (36923688).

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

21332952 is a wasteful number, since it uses less digits than its factorization.

21332952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2465 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 21332952 is about 4618.7608727883. The cubic root of 21332952 is about 277.3428572194.

The spelling of 21332952 in words is "twenty-one million, three hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 2333 3048 4572 4666 6999 9144 9332 13998 18664 20997 27996 41994 55992 83988 167976 296291 592582 888873 1185164 1777746 2370328 2666619 3555492 5333238 7110984 10666476 21332952