Base | Representation |
---|---|
bin | 1010111110101… |
… | …0011101110000 |
3 | 10012122112112120 |
4 | 2233222131300 |
5 | 43242033021 |
6 | 4322554240 |
7 | 1066261020 |
oct | 257523560 |
9 | 105575476 |
10 | 46049136 |
11 | 23aa2441 |
12 | 13508980 |
13 | 9704013 |
14 | 6189a80 |
15 | 40992c6 |
hex | 2bea770 |
46049136 has 80 divisors (see below), whose sum is σ = 140371968. Its totient is φ = 12729600.
The previous prime is 46049131. The next prime is 46049149. The reversal of 46049136 is 63194064.
It is a super-3 number, since 3×460491363 (a number of 24 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 46049097 and 46049106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46049131) 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, 8206 + ... + 12626.
Almost surely, 246049136 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 46049136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70185984).
46049136 is an abundant number, since it is smaller than the sum of its proper divisors (94322832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46049136 is a wasteful number, since it uses less digits than its factorization.
46049136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 33.
The square root of 46049136 is about 6785.9513702944. The cubic root of 46049136 is about 358.4323189791.
The spelling of 46049136 in words is "forty-six million, forty-nine thousand, one hundred thirty-six".
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