Base | Representation |
---|---|
bin | 1010111111111… |
… | …1111000110000 |
3 | 10012210222220100 |
4 | 2233333320300 |
5 | 43302340010 |
6 | 4324512400 |
7 | 1100104566 |
oct | 257777060 |
9 | 105728810 |
10 | 46136880 |
11 | 24052359 |
12 | 1354b700 |
13 | 9734c3a |
14 | 61ada36 |
15 | 40b52c0 |
hex | 2bffe30 |
46136880 has 120 divisors (see below), whose sum is σ = 156396240. Its totient is φ = 12188160.
The previous prime is 46136863. The next prime is 46136903. The reversal of 46136880 is 8863164.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×461368802 = 4257223392268800, 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 pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99850 + ... + 100310.
It is an arithmetic number, because the mean of its divisors is an integer number (1303302).
Almost surely, 246136880 is an apocalyptic number.
46136880 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 46136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).
46136880 is an abundant number, since it is smaller than the sum of its proper divisors (110259360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46136880 is a wasteful number, since it uses less digits than its factorization.
46136880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 619 (or 610 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 46136880 is about 6792.4134149800. The cubic root of 46136880 is about 358.6598319770.
The spelling of 46136880 in words is "forty-six million, one hundred thirty-six thousand, eight hundred eighty".
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