Base | Representation |
---|---|
bin | 1010000001100… |
… | …1011111100000 |
3 | 2221010020021012 |
4 | 2200121133200 |
5 | 41231004311 |
6 | 4101120052 |
7 | 1020253223 |
oct | 240313740 |
9 | 87106235 |
10 | 42047456 |
11 | 21809970 |
12 | 120b9028 |
13 | 8932769 |
14 | 58275ba |
15 | 3a5878b |
hex | 28197e0 |
42047456 has 48 divisors (see below), whose sum is σ = 95074560. Its totient is φ = 18103680.
The previous prime is 42047449. The next prime is 42047459. The reversal of 42047456 is 65474024.
42047456 = T223 + T224 + ... + T640.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42047459) 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 7 ways as a sum of consecutive naturals, for example, 3545 + ... + 9831.
It is an arithmetic number, because the mean of its divisors is an integer number (1980720).
Almost surely, 242047456 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47537280).
42047456 is an abundant number, since it is smaller than the sum of its proper divisors (53027104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42047456 is a wasteful number, since it uses less digits than its factorization.
42047456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6327 (or 6319 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 32.
The square root of 42047456 is about 6484.4009746468. The cubic root of 42047456 is about 347.7335345127.
The spelling of 42047456 in words is "forty-two million, forty-seven thousand, four hundred fifty-six".
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