Base | Representation |
---|---|
bin | 1010000110001… |
… | …1010111011000 |
3 | 2221200121100000 |
4 | 2201203113120 |
5 | 41320200130 |
6 | 4111413000 |
7 | 1022653335 |
oct | 241432730 |
9 | 87617300 |
10 | 42350040 |
11 | 219a6237 |
12 | 12224160 |
13 | 8a0a3c5 |
14 | 58a598c |
15 | 3ab8260 |
hex | 28635d8 |
42350040 has 96 divisors (see below), whose sum is σ = 142768080. Its totient is φ = 11290752.
The previous prime is 42350039. The next prime is 42350051. The reversal of 42350040 is 4005324.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 42349995 and 42350022.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7542 + ... + 11898.
Almost surely, 242350040 is an apocalyptic number.
42350040 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 42350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71384040).
42350040 is an abundant number, since it is smaller than the sum of its proper divisors (100418040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42350040 is a wasteful number, since it uses less digits than its factorization.
42350040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4383 (or 4367 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 42350040 is about 6507.6908346971. The cubic root of 42350040 is about 348.5656674161.
Adding to 42350040 its reverse (4005324), we get a palindrome (46355364).
The spelling of 42350040 in words is "forty-two million, three hundred fifty thousand, forty".
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