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42140784 = 24372192341
BaseRepresentation
bin1010000011000…
…0010001110000
32221021222021210
42200300101300
541242001114
64103120120
71021122300
oct240602160
987258253
1042140784
1121872aa4
1212143040
13896609a
14584d600
153a76259
hex2830470

42140784 has 240 divisors, whose sum is σ = 142490880. Its totient is φ = 10644480.

The previous prime is 42140779. The next prime is 42140821. The reversal of 42140784 is 48704124.

It is a super-2 number, since 2×421407842 = 3551691352269312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027804 + ... + 1027844.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 242140784 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 42140784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

42140784 is an abundant number, since it is smaller than the sum of its proper divisors (100350096).

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

42140784 is a wasteful number, since it uses less digits than its factorization.

42140784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 42140784 is about 6491.5933329191. The cubic root of 42140784 is about 347.9906193799.

It can be divided in two parts, 42140 and 784, that added together give a palindrome (42924).

The spelling of 42140784 in words is "forty-two million, one hundred forty thousand, seven hundred eighty-four".