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21272608 = 257234129
BaseRepresentation
bin101000100100…
…1100000100000
31111000202112101
41101021200200
520421210413
62035540144
7345546160
oct121114040
944022471
1021272608
111100a475
12715a654
13453a756
142b7a5a0
151d02edd
hex1449820

21272608 has 48 divisors (see below), whose sum is σ = 49956480. Its totient is φ = 8718336.

The previous prime is 21272579. The next prime is 21272611. The reversal of 21272608 is 80627212.

It is a super-2 number, since 2×212726082 = 905047702243328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3088 + ... + 7216.

It is an arithmetic number, because the mean of its divisors is an integer number (1040760).

Almost surely, 221272608 is an apocalyptic number.

21272608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21272608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24978240).

21272608 is an abundant number, since it is smaller than the sum of its proper divisors (28683872).

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

21272608 is a wasteful number, since it uses less digits than its factorization.

21272608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 21272608 is about 4612.2237586657. The cubic root of 21272608 is about 277.0811059400.

The spelling of 21272608 in words is "twenty-one million, two hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 4129 5152 8258 16516 28903 33032 57806 66064 94967 115612 132128 189934 231224 379868 462448 664769 759736 924896 1329538 1519472 2659076 3038944 5318152 10636304 21272608