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42784833 = 3713532957
BaseRepresentation
bin1010001100110…
…1100001000001
32222111200202110
42203031201001
541423103313
64125005533
71026444060
oct243154101
988450673
1042784833
1122172973
12123b38a9
138b30290
14597a1d7
153b51ec3
hex28cd841

42784833 has 32 divisors (see below), whose sum is σ = 71559936. Its totient is φ = 22134528.

The previous prime is 42784823. The next prime is 42784837. The reversal of 42784833 is 33848724.

It is not a de Polignac number, because 42784833 - 26 = 42784769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 42784791 and 42784800.

It is not an unprimeable number, because it can be changed into a prime (42784837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12991 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (2236248).

Almost surely, 242784833 is an apocalyptic number.

It is an amenable number.

42784833 is a deficient number, since it is larger than the sum of its proper divisors (28775103).

42784833 is a wasteful number, since it uses less digits than its factorization.

42784833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033.

The product of its digits is 129024, while the sum is 39.

The square root of 42784833 is about 6541.0116190082. The cubic root of 42784833 is about 349.7544754241.

The spelling of 42784833 in words is "forty-two million, seven hundred eighty-four thousand, eight hundred thirty-three".

Divisors: 1 3 7 13 21 39 53 91 159 273 371 689 1113 2067 2957 4823 8871 14469 20699 38441 62097 115323 156721 269087 470163 807261 1097047 2037373 3291141 6112119 14261611 42784833