Base | Representation |
---|---|
bin | 1010000111100… |
… | …1010000000000 |
3 | 2221212011022000 |
4 | 2201321100000 |
5 | 41331032210 |
6 | 4113344000 |
7 | 1023505563 |
oct | 241712000 |
9 | 87764260 |
10 | 42439680 |
11 | 21a57618 |
12 | 12268000 |
13 | 8a3c14a |
14 | 58ca4da |
15 | 3ad4ac0 |
hex | 2879400 |
42439680 has 176 divisors, whose sum is σ = 151314240. Its totient is φ = 11280384.
The previous prime is 42439679. The next prime is 42439699. The reversal of 42439680 is 8693424.
It is a happy number.
It is a super-2 number, since 2×424396802 = 3602252877004800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138087 + ... + 138393.
It is an arithmetic number, because the mean of its divisors is an integer number (859740).
Almost surely, 242439680 is an apocalyptic number.
42439680 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 42439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657120).
42439680 is an abundant number, since it is smaller than the sum of its proper divisors (108874560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42439680 is a wasteful number, since it uses less digits than its factorization.
42439680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 341 (or 317 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 42439680 is about 6514.5744296922. The cubic root of 42439680 is about 348.8114240289.
42439680 divided by its sum of digits (36) gives a triangular number (1178880 = T1535).
It can be divided in two parts, 424 and 39680, that added together give a palindrome (40104).
The spelling of 42439680 in words is "forty-two million, four hundred thirty-nine thousand, six hundred eighty".
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