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42834864 = 2433492557
BaseRepresentation
bin1010001101100…
…1101110110000
32222121020101110
42203121232300
541431203424
64130033320
71030042662
oct243315660
988536343
1042834864
11221a7516
1212418840
138b49c97
145990532
153b61c29
hex28d9bb0

42834864 has 40 divisors (see below), whose sum is σ = 111017200. Its totient is φ = 14231808.

The previous prime is 42834859. The next prime is 42834877. The reversal of 42834864 is 46843824.

42834864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15474 + ... + 18030.

It is an arithmetic number, because the mean of its divisors is an integer number (2775430).

Almost surely, 242834864 is an apocalyptic number.

It is an amenable number.

42834864 is an abundant number, since it is smaller than the sum of its proper divisors (68182336).

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

42834864 is a wasteful number, since it uses less digits than its factorization.

42834864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2911 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 42834864 is about 6544.8349100646. The cubic root of 42834864 is about 349.8907522979.

The spelling of 42834864 in words is "forty-two million, eight hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 349 698 1047 1396 2094 2557 2792 4188 5114 5584 7671 8376 10228 15342 16752 20456 30684 40912 61368 122736 892393 1784786 2677179 3569572 5354358 7139144 10708716 14278288 21417432 42834864