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21253248 = 273219971
BaseRepresentation
bin101000100010…
…0110010000000
31110222202222100
41101010302000
520420100443
62035310400
7345435552
oct121046200
943882870
1021253248
1110aa6975
12714b400
1345319b3
142b734d2
151cec3d3
hex1444c80

21253248 has 96 divisors (see below), whose sum is σ = 64443600. Its totient is φ = 6704640.

The previous prime is 21253241. The next prime is 21253277. The reversal of 21253248 is 84235212.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21253241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21403 + ... + 22373.

Almost surely, 221253248 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 21253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221800).

21253248 is an abundant number, since it is smaller than the sum of its proper divisors (43190352).

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

21253248 is a wasteful number, since it uses less digits than its factorization.

21253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 995 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 21253248 is about 4610.1245102492. The cubic root of 21253248 is about 276.9970241266.

The spelling of 21253248 in words is "twenty-one million, two hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 971 1152 1216 1368 1824 1942 2432 2736 2913 3648 3884 5472 5826 7296 7768 8739 10944 11652 15536 17478 18449 21888 23304 31072 34956 36898 46608 55347 62144 69912 73796 93216 110694 124288 139824 147592 166041 186432 221388 279648 295184 332082 372864 442776 559296 590368 664164 885552 1118592 1180736 1328328 1771104 2361472 2656656 3542208 5313312 7084416 10626624 21253248