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42775216 = 24112310567
BaseRepresentation
bin1010001100101…
…1001010110000
32222111012120021
42203023022300
541422301331
64124453224
71026404041
oct243131260
988435507
1042775216
1122166720
12123aa214
138b28aa3
1459768c8
153b4e211
hex28cb2b0

42775216 has 40 divisors (see below), whose sum is σ = 94351104. Its totient is φ = 18596160.

The previous prime is 42775163. The next prime is 42775237. The reversal of 42775216 is 61257724.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 1236 + ... + 9331.

Almost surely, 242775216 is an apocalyptic number.

42775216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42775216 is an abundant number, since it is smaller than the sum of its proper divisors (51575888).

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

42775216 is a wasteful number, since it uses less digits than its factorization.

42775216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609 (or 10603 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 42775216 is about 6540.2764467567. The cubic root of 42775216 is about 349.7282679996.

The spelling of 42775216 in words is "forty-two million, seven hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 10567 21134 42268 84536 116237 169072 232474 243041 464948 486082 929896 972164 1859792 1944328 2673451 3888656 5346902 10693804 21387608 42775216