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21285248 = 27179929
BaseRepresentation
bin101000100110…
…0100110000000
31111001101212112
41101030212000
520422111443
62040114452
7345631055
oct121144600
944041775
1021285248
1111018a16
127165a28
13454342a
142b8102c
151d06b18
hex144c980

21285248 has 32 divisors (see below), whose sum is σ = 42687000. Its totient is φ = 10571776.

The previous prime is 21285247. The next prime is 21285269. The reversal of 21285248 is 84258212.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21285247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22448 + ... + 23376.

Almost surely, 221285248 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 21285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343500).

21285248 is an abundant number, since it is smaller than the sum of its proper divisors (21401752).

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

21285248 is an equidigital number, since it uses as much as digits as its factorization.

21285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its digits is 10240, while the sum is 32.

The square root of 21285248 is about 4613.5938269423. The cubic root of 21285248 is about 277.1359748075.

The spelling of 21285248 in words is "twenty-one million, two hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 929 1432 1858 2864 3716 5728 7432 11456 14864 22912 29728 59456 118912 166291 332582 665164 1330328 2660656 5321312 10642624 21285248