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21288852 = 22331359257
BaseRepresentation
bin101000100110…
…1011110010100
31111001120211000
41101031132110
520422220402
62040143300
7345644424
oct121153624
944046730
1021288852
11110206a2
127167b30
134544c70
142b82484
151d07c1c
hex144d794

21288852 has 96 divisors (see below), whose sum is σ = 60681600. Its totient is φ = 6414336.

The previous prime is 21288851. The next prime is 21288857. The reversal of 21288852 is 25888212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21288851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82708 + ... + 82964.

It is an arithmetic number, because the mean of its divisors is an integer number (632100).

Almost surely, 221288852 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 21288852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30340800).

21288852 is an abundant number, since it is smaller than the sum of its proper divisors (39392748).

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

21288852 is a wasteful number, since it uses less digits than its factorization.

21288852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 21288852 is about 4613.9843952922. The cubic root of 21288852 is about 277.1516154002.

The spelling of 21288852 in words is "twenty-one million, two hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 108 117 118 156 177 234 236 257 351 354 468 514 531 702 708 767 771 1028 1062 1404 1534 1542 1593 2124 2301 2313 3068 3084 3186 3341 4602 4626 6372 6682 6903 6939 9204 9252 10023 13364 13806 13878 15163 20046 20709 27612 27756 30069 30326 40092 41418 45489 60138 60652 82836 90207 90978 120276 136467 180414 181956 197119 272934 360828 394238 409401 545868 591357 788476 818802 1182714 1637604 1774071 2365428 3548142 5322213 7096284 10644426 21288852