Base | Representation |
---|---|
bin | 1010000011100… |
… | …0101101011000 |
3 | 2221100201122220 |
4 | 2200320231120 |
5 | 41244102240 |
6 | 4103544040 |
7 | 1021325055 |
oct | 240705530 |
9 | 87321586 |
10 | 42175320 |
11 | 21896a40 |
12 | 1215b020 |
13 | 8978a15 |
14 | 585c02c |
15 | 3a815d0 |
hex | 2838b58 |
42175320 has 128 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 10081280.
The previous prime is 42175271. The next prime is 42175327. The reversal of 42175320 is 2357124.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42175327) 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 31 ways as a sum of consecutive naturals, for example, 117301 + ... + 117659.
It is an arithmetic number, because the mean of its divisors is an integer number (1093500).
Almost surely, 242175320 is an apocalyptic number.
42175320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42175320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).
42175320 is an abundant number, since it is smaller than the sum of its proper divisors (97792680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42175320 is a wasteful number, since it uses less digits than its factorization.
42175320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 473 (or 469 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 24.
The square root of 42175320 is about 6494.2528438613. The cubic root of 42175320 is about 348.0856573396.
The spelling of 42175320 in words is "forty-two million, one hundred seventy-five thousand, three hundred twenty".
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