Base | Representation |
---|---|
bin | 1010111111011… |
… | …1010010100000 |
3 | 10012202012121001 |
4 | 2233313102200 |
5 | 43300223124 |
6 | 4324041344 |
7 | 1066600120 |
oct | 257672240 |
9 | 105665531 |
10 | 46101664 |
11 | 24028954 |
12 | 13533254 |
13 | 9721bbb |
14 | 61a0c80 |
15 | 40a9b44 |
hex | 2bf74a0 |
46101664 has 48 divisors (see below), whose sum is σ = 104243328. Its totient is φ = 19660032.
The previous prime is 46101661. The next prime is 46101691. The reversal of 46101664 is 46610164.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46101661) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61677 + ... + 62419.
It is an arithmetic number, because the mean of its divisors is an integer number (2171736).
Almost surely, 246101664 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 46101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52121664).
46101664 is an abundant number, since it is smaller than the sum of its proper divisors (58141664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46101664 is a wasteful number, since it uses less digits than its factorization.
46101664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 28.
The square root of 46101664 is about 6789.8206161871. The cubic root of 46101664 is about 358.5685544595.
The spelling of 46101664 in words is "forty-six million, one hundred one thousand, six hundred sixty-four".
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