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42121332 = 223211106367
BaseRepresentation
bin1010000010101…
…1100001110100
32221020222121100
42200223201310
541240340312
64102450100
71021011501
oct240534164
987228540
1042121332
112185a420
1212133930
13895a286
1458464a8
153a705dc
hex282b874

42121332 has 36 divisors (see below), whose sum is σ = 116153856. Its totient is φ = 12763920.

The previous prime is 42121327. The next prime is 42121333. The reversal of 42121332 is 23312124.

42121332 is a `hidden beast` number, since 421 + 213 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52788 + ... + 53579.

It is an arithmetic number, because the mean of its divisors is an integer number (3226496).

Almost surely, 242121332 is an apocalyptic number.

It is an amenable number.

42121332 is an abundant number, since it is smaller than the sum of its proper divisors (74032524).

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

42121332 is a wasteful number, since it uses less digits than its factorization.

42121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106388 (or 106383 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42121332 is about 6490.0949145602. The cubic root of 42121332 is about 347.9370674943.

Adding to 42121332 its reverse (23312124), we get a palindrome (65433456).

The spelling of 42121332 in words is "forty-two million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 106367 212734 319101 425468 638202 957303 1170037 1276404 1914606 2340074 3510111 3829212 4680148 7020222 10530333 14040444 21060666 42121332