Base | Representation |
---|---|
bin | 1010001111111… |
… | …0010111101110 |
3 | 2222212212020220 |
4 | 2203332113232 |
5 | 42001004232 |
6 | 4133152210 |
7 | 1031236350 |
oct | 243762756 |
9 | 88785226 |
10 | 42984942 |
11 | 2229a250 |
12 | 1248b666 |
13 | 8ba03a0 |
14 | 59cd0d0 |
15 | 3b9142c |
hex | 28fe5ee |
42984942 has 128 divisors (see below), whose sum is σ = 122508288. Its totient is φ = 9676800.
The previous prime is 42984937. The next prime is 42984943. The reversal of 42984942 is 24948924.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 42984894 and 42984903.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42984943) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101892 + ... + 102312.
It is an arithmetic number, because the mean of its divisors is an integer number (957096).
Almost surely, 242984942 is an apocalyptic number.
42984942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 42984942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61254144).
42984942 is an abundant number, since it is smaller than the sum of its proper divisors (79523346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42984942 is a wasteful number, since it uses less digits than its factorization.
42984942 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 474.
The product of its digits is 165888, while the sum is 42.
The square root of 42984942 is about 6556.2902620308. The cubic root of 42984942 is about 350.2989065603.
The spelling of 42984942 in words is "forty-two million, nine hundred eighty-four thousand, nine hundred forty-two".
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