| Base | Representation |
|---|---|
| bin | 1010111111111… |
| … | …0001000010000 |
| 3 | 10012210122000200 |
| 4 | 2233332020100 |
| 5 | 43302122210 |
| 6 | 4324415200 |
| 7 | 1100044602 |
| oct | 257761020 |
| 9 | 105718020 |
| 10 | 46129680 |
| 11 | 24047a03 |
| 12 | 13547500 |
| 13 | 973188c |
| 14 | 61ab172 |
| 15 | 40b30c0 |
| hex | 2bfe210 |
46129680 has 120 divisors (see below), whose sum is σ = 157073280. Its totient is φ = 12130560.
The previous prime is 46129637. The next prime is 46129709. The reversal of 46129680 is 8692164.
46129680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56475 + ... + 57285.
It is an arithmetic number, because the mean of its divisors is an integer number (1308944).
Almost surely, 246129680 is an apocalyptic number.
46129680 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 46129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78536640).
46129680 is an abundant number, since it is smaller than the sum of its proper divisors (110943600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46129680 is a wasteful number, since it uses less digits than its factorization.
46129680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 909 (or 900 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 46129680 is about 6791.8833912251. The cubic root of 46129680 is about 358.6411738367.
The spelling of 46129680 in words is "forty-six million, one hundred twenty-nine thousand, six hundred eighty".
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