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42144520 = 2351195783
BaseRepresentation
bin1010000011000…
…1001100001000
32221022011102011
42200301030020
541242111040
64103145304
71021136215
oct240611410
987264364
1042144520
1121875890
1212145234
1389679b2
145850b0c
153a773ea
hex2831308

42144520 has 32 divisors (see below), whose sum is σ = 103446720. Its totient is φ = 15325120.

The previous prime is 42144503. The next prime is 42144521. The reversal of 42144520 is 2544124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42144491 and 42144500.

It is not an unprimeable number, because it can be changed into a prime (42144521) 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, 47452 + ... + 48331.

It is an arithmetic number, because the mean of its divisors is an integer number (3232710).

Almost surely, 242144520 is an apocalyptic number.

42144520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144520 is an abundant number, since it is smaller than the sum of its proper divisors (61302200).

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

42144520 is a wasteful number, since it uses less digits than its factorization.

42144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95805 (or 95801 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 42144520 is about 6491.8810833225. The cubic root of 42144520 is about 348.0009028030. Note that the first 3 decimals are identical.

Adding to 42144520 its reverse (2544124), we get a palindrome (44688644).

The spelling of 42144520 in words is "forty-two million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 95783 191566 383132 478915 766264 957830 1053613 1915660 2107226 3831320 4214452 5268065 8428904 10536130 21072260 42144520