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21842424 = 2332303367
BaseRepresentation
bin101001101010…
…0100111111000
31112002201011200
41103110213320
521042424144
62100054200
7353441352
oct123244770
945081150
1021842424
111136959a
127394360
1346a9c16
142c880d2
151db6c69
hex14d49f8

21842424 has 24 divisors (see below), whose sum is σ = 59156760. Its totient is φ = 7280784.

The previous prime is 21842393. The next prime is 21842441. The reversal of 21842424 is 42424812.

21842424 is a `hidden beast` number, since 218 + 424 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

21842424 is a modest number, since divided by 2424 gives 2184 as remainder.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 151612 + ... + 151755.

It is an arithmetic number, because the mean of its divisors is an integer number (2464865).

Almost surely, 221842424 is an apocalyptic number.

21842424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21842424 is an abundant number, since it is smaller than the sum of its proper divisors (37314336).

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

21842424 is a wasteful number, since it uses less digits than its factorization.

21842424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303379 (or 303372 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 21842424 is about 4673.5879150819. The cubic root of 21842424 is about 279.5333383172.

The spelling of 21842424 in words is "twenty-one million, eight hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 303367 606734 910101 1213468 1820202 2426936 2730303 3640404 5460606 7280808 10921212 21842424