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42782031 = 3213073637
BaseRepresentation
bin1010001100110…
…0110101001111
32222111112220200
42203030311033
541423011111
64124544543
71026432645
oct243146517
988445820
1042782031
1122170856
12123b2153
138b2bc16
145979195
153b51256
hex28ccd4f

42782031 has 12 divisors (see below), whose sum is σ = 61860552. Its totient is φ = 28491696.

The previous prime is 42782023. The next prime is 42782039. The reversal of 42782031 is 13028724.

It is an interprime number because it is at equal distance from previous prime (42782023) and next prime (42782039).

It is not a de Polignac number, because 42782031 - 23 = 42782023 is a prime.

It is a super-3 number, since 3×427820313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42781986 and 42782004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9945 + ... + 13581.

It is an arithmetic number, because the mean of its divisors is an integer number (5155046).

Almost surely, 242782031 is an apocalyptic number.

42782031 is a deficient number, since it is larger than the sum of its proper divisors (19078521).

42782031 is a wasteful number, since it uses less digits than its factorization.

42782031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42782031 is about 6540.7974284486. The cubic root of 42782031 is about 349.7468400592.

The spelling of 42782031 in words is "forty-two million, seven hundred eighty-two thousand, thirty-one".

Divisors: 1 3 9 1307 3637 3921 10911 11763 32733 4753559 14260677 42782031