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42180144 = 2434121433
BaseRepresentation
bin1010000011100…
…1111000110000
32221100222021120
42200321320300
541244231034
64104022240
71021345116
oct240717060
987328246
1042180144
112189a626
1212161980
13897ac86
14585dab6
153a82c49
hex2839e30

42180144 has 40 divisors (see below), whose sum is σ = 111628272. Its totient is φ = 13716480.

The previous prime is 42180143. The next prime is 42180161. The reversal of 42180144 is 44108124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42180143) 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 7 ways as a sum of consecutive naturals, for example, 8749 + ... + 12684.

Almost surely, 242180144 is an apocalyptic number.

It is an amenable number.

42180144 is an abundant number, since it is smaller than the sum of its proper divisors (69448128).

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

42180144 is a wasteful number, since it uses less digits than its factorization.

42180144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 42180144 is about 6494.6242385530. The cubic root of 42180144 is about 348.0989281434.

Adding to 42180144 its reverse (44108124), we get a palindrome (86288268).

It can be divided in two parts, 42180 and 144, that added together give a palindrome (42324).

The spelling of 42180144 in words is "forty-two million, one hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 21433 42866 64299 85732 128598 171464 257196 342928 514392 878753 1028784 1757506 2636259 3515012 5272518 7030024 10545036 14060048 21090072 42180144