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21847968 = 25348429
BaseRepresentation
bin101001101010…
…1111110100000
31112002222210000
41103111332200
521043113333
62100140000
7353463462
oct123257640
945088700
1021847968
111137277a
127397600
1346ac5bc
142c8a132
151db8713
hex14d5fa0

21847968 has 60 divisors (see below), whose sum is σ = 64261890. Its totient is φ = 7281792.

The previous prime is 21847961. The next prime is 21847993. The reversal of 21847968 is 86974812.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 944784 = 4572^2 + 972^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21847961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1623 + ... + 6806.

Almost surely, 221847968 is an apocalyptic number.

It is an amenable number.

21847968 is an abundant number, since it is smaller than the sum of its proper divisors (42413922).

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

21847968 is an equidigital number, since it uses as much as digits as its factorization.

21847968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8434 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 21847968 is about 4674.1809977792. The cubic root of 21847968 is about 279.5569865125.

The spelling of 21847968 in words is "twenty-one million, eight hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8429 16858 25287 33716 50574 67432 75861 101148 134864 151722 202296 227583 269728 303444 404592 455166 606888 682749 809184 910332 1213776 1365498 1820664 2427552 2730996 3641328 5461992 7282656 10923984 21847968