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42123444 = 22311319117
BaseRepresentation
bin1010000010110…
…0000010110100
32221021002111120
42200230002310
541240422234
64102503540
71021020606
oct240540264
987232446
1042123444
1121860a70
1212134bb0
13895b21c
145847176
153a71049
hex282c0b4

42123444 has 24 divisors (see below), whose sum is σ = 107223648. Its totient is φ = 12764640.

The previous prime is 42123401. The next prime is 42123449. The reversal of 42123444 is 44432124.

It is a happy number.

It is a super-2 number, since 2×421234442 = 3548769068842272, which contains 22 as substring.

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 (42123449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159427 + ... + 159690.

It is an arithmetic number, because the mean of its divisors is an integer number (4467652).

Almost surely, 242123444 is an apocalyptic number.

42123444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42123444 is an abundant number, since it is smaller than the sum of its proper divisors (65100204).

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

42123444 is a wasteful number, since it uses less digits than its factorization.

42123444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319135 (or 319133 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42123444 is about 6490.2576220055. The cubic root of 42123444 is about 347.9428826856.

Adding to 42123444 its reverse (44432124), we get a palindrome (86555568).

The spelling of 42123444 in words is "forty-two million, one hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 319117 638234 957351 1276468 1914702 3510287 3829404 7020574 10530861 14041148 21061722 42123444