Base | Representation |
---|---|
bin | 1010000011001… |
… | …1101101011000 |
3 | 2221022200120101 |
4 | 2200303231120 |
5 | 41242423330 |
6 | 4103305144 |
7 | 1021211260 |
oct | 240635530 |
9 | 87280511 |
10 | 42154840 |
11 | 21882612 |
12 | 1214b1b4 |
13 | 896c5c0 |
14 | 58547a0 |
15 | 3a7a4ca |
hex | 2833b58 |
42154840 has 128 divisors (see below), whose sum is σ = 120274560. Its totient is φ = 12939264.
The previous prime is 42154813. The next prime is 42154841. The reversal of 42154840 is 4845124.
42154840 = 24512 + 24522 + ... + 24572.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 42154840 = 223 + 3483 = 1933 + 3273.
It is a junction number, because it is equal to n+sod(n) for n = 42154799 and 42154808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42154841) 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, 134524 + ... + 134836.
It is an arithmetic number, because the mean of its divisors is an integer number (939645).
Almost surely, 242154840 is an apocalyptic number.
42154840 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 42154840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137280).
42154840 is an abundant number, since it is smaller than the sum of its proper divisors (78119720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42154840 is a wasteful number, since it uses less digits than its factorization.
42154840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 381 (or 377 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 28.
The square root of 42154840 is about 6492.6758736287. The cubic root of 42154840 is about 348.0293056749.
Adding to 42154840 its reverse (4845124), we get a palindrome (46999964).
The spelling of 42154840 in words is "forty-two million, one hundred fifty-four thousand, eight hundred forty".
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