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42509712 = 2437126517
BaseRepresentation
bin1010001000101…
…0010110010000
32221222201100210
42202022112100
541340302322
64115044120
71024220010
oct242122620
987881323
1042509712
1121aa51a3
12122a0640
138a64c9b
145907c40
153aea70c
hex288a590

42509712 has 40 divisors (see below), whose sum is σ = 125505856. Its totient is φ = 12145536.

The previous prime is 42509653. The next prime is 42509717. The reversal of 42509712 is 21790524.

It is a super-2 number, since 2×425097122 = 3614151228645888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42509712.

It is not an unprimeable number, because it can be changed into a prime (42509717) 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, 62923 + ... + 63594.

Almost surely, 242509712 is an apocalyptic number.

42509712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42509712 is an abundant number, since it is smaller than the sum of its proper divisors (82996144).

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

42509712 is a wasteful number, since it uses less digits than its factorization.

42509712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126535 (or 126529 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 42509712 is about 6519.9472390503. The cubic root of 42509712 is about 349.0031827582.

The spelling of 42509712 in words is "forty-two million, five hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 126517 253034 379551 506068 759102 885619 1012136 1518204 1771238 2024272 2656857 3036408 3542476 5313714 6072816 7084952 10627428 14169904 21254856 42509712