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42114024 = 2332584917
BaseRepresentation
bin1010000010100…
…1101111101000
32221020121120200
42200221233220
541240122044
64102352200
71020651261
oct240515750
987217520
1042114024
1121854987
121212b660
138956b54
145843968
153a6d369
hex2829be8

42114024 has 24 divisors (see below), whose sum is σ = 114059010. Its totient is φ = 14037984.

The previous prime is 42114019. The next prime is 42114041. The reversal of 42114024 is 42041124.

It can be written as a sum of positive squares in only one way, i.e., 26193924 + 15920100 = 5118^2 + 3990^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 42113988 and 42114006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292387 + ... + 292530.

Almost surely, 242114024 is an apocalyptic number.

It is an amenable number.

42114024 is an abundant number, since it is smaller than the sum of its proper divisors (71944986).

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

42114024 is a wasteful number, since it uses less digits than its factorization.

42114024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584929 (or 584922 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42114024 is about 6489.5318783407. The cubic root of 42114024 is about 347.9169441108.

Adding to 42114024 its reverse (42041124), we get a palindrome (84155148).

Subtracting from 42114024 its reverse (42041124), we obtain a square (72900 = 2702).

The spelling of 42114024 in words is "forty-two million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 584917 1169834 1754751 2339668 3509502 4679336 5264253 7019004 10528506 14038008 21057012 42114024