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42245040 = 2435176021
BaseRepresentation
bin1010000100100…
…1101110110000
32221111021022010
42201021232300
541303320130
64105242520
71022035245
oct241115660
987437263
1042245040
1121934362
1212193440
1389a1686
1458795cc
153a970b0
hex2849bb0

42245040 has 40 divisors (see below), whose sum is σ = 130960368. Its totient is φ = 11265280.

The previous prime is 42245039. The next prime is 42245059. The reversal of 42245040 is 4054224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42244998 and 42245016.

It is an unprimeable number.

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, 87771 + ... + 88250.

Almost surely, 242245040 is an apocalyptic number.

42245040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42245040 is an abundant number, since it is smaller than the sum of its proper divisors (88715328).

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

42245040 is a wasteful number, since it uses less digits than its factorization.

42245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176037 (or 176031 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42245040 is about 6499.6184503400. The cubic root of 42245040 is about 348.2773584856.

Adding to 42245040 its reverse (4054224), we get a palindrome (46299264).

The spelling of 42245040 in words is "forty-two million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176021 352042 528063 704084 880105 1056126 1408168 1760210 2112252 2640315 2816336 3520420 4224504 5280630 7040840 8449008 10561260 14081680 21122520 42245040