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42830784 = 2632235361
BaseRepresentation
bin1010001101100…
…0101111000000
32222121000210100
42203120233000
541431041114
64130002400
71030025043
oct243305700
988530710
1042830784
11221a4447
1212416400
138b48179
14598cc5a
153b60909
hex28d8bc0

42830784 has 168 divisors, whose sum is σ = 132661152. Its totient is φ = 13178880.

The previous prime is 42830717. The next prime is 42830789. The reversal of 42830784 is 48703824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42830789) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 702114 + ... + 702174.

Almost surely, 242830784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330576).

42830784 is an abundant number, since it is smaller than the sum of its proper divisors (89830368).

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

42830784 is a wasteful number, since it uses less digits than its factorization.

42830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42830784 is about 6544.5232064681. The cubic root of 42830784 is about 349.8796429704.

The spelling of 42830784 in words is "forty-two million, eight hundred thirty thousand, seven hundred eighty-four".