Base | Representation |
---|---|
bin | 1010111111100… |
… | …0110101010000 |
3 | 10012202112021010 |
4 | 2233320311100 |
5 | 43300423414 |
6 | 4324130520 |
7 | 1066624416 |
oct | 257706520 |
9 | 105675233 |
10 | 46107984 |
11 | 2403267a |
12 | 13536a40 |
13 | 9724a40 |
14 | 61a32b6 |
15 | 40ab959 |
hex | 2bf8d50 |
46107984 has 80 divisors (see below), whose sum is σ = 135060800. Its totient is φ = 13436928.
The previous prime is 46107959. The next prime is 46107989. The reversal of 46107984 is 48970164.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46107989) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9912 + ... + 13800.
It is an arithmetic number, because the mean of its divisors is an integer number (1688260).
Almost surely, 246107984 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 46107984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67530400).
46107984 is an abundant number, since it is smaller than the sum of its proper divisors (88952816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46107984 is a wasteful number, since it uses less digits than its factorization.
46107984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3932 (or 3926 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 39.
The square root of 46107984 is about 6790.2860028131. The cubic root of 46107984 is about 358.5849388986.
The spelling of 46107984 in words is "forty-six million, one hundred seven thousand, nine hundred eighty-four".
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