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42760392 = 23312714029
BaseRepresentation
bin1010001100011…
…1100011001000
32222110110020020
42203013203020
541421313032
64124300440
71026312603
oct243074310
988413206
1042760392
1122156574
12123a1720
138b2210c
14597133a
153b49b2c
hex28c78c8

42760392 has 32 divisors (see below), whose sum is σ = 107750400. Its totient is φ = 14140224.

The previous prime is 42760391. The next prime is 42760397. The reversal of 42760392 is 29306724.

It is a super-2 number, since 2×427603922 = 3656902247987328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42760391) 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, 3967 + ... + 10062.

It is an arithmetic number, because the mean of its divisors is an integer number (3367200).

Almost surely, 242760392 is an apocalyptic number.

It is an amenable number.

42760392 is an abundant number, since it is smaller than the sum of its proper divisors (64990008).

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

42760392 is a wasteful number, since it uses less digits than its factorization.

42760392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14165 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 42760392 is about 6539.1430631238. The cubic root of 42760392 is about 349.6878632097.

The spelling of 42760392 in words is "forty-two million, seven hundred sixty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 14029 28058 42087 56116 84174 112232 168348 336696 1781683 3563366 5345049 7126732 10690098 14253464 21380196 42760392