| Base | Representation |
|---|---|
| bin | 1010110001101… |
| … | …1100111100000 |
| 3 | 10011001111100000 |
| 4 | 2230123213200 |
| 5 | 43032430023 |
| 6 | 4252500000 |
| 7 | 1056131634 |
| oct | 254334740 |
| 9 | 104044300 |
| 10 | 45201888 |
| 11 | 23573936 |
| 12 | 1317a600 |
| 13 | 94984a4 |
| 14 | 6008dc4 |
| 15 | 3e7d243 |
| hex | 2b1b9e0 |
45201888 has 72 divisors (see below), whose sum is σ = 133326648. Its totient is φ = 15064704.
The previous prime is 45201887. The next prime is 45201889. The reversal of 45201888 is 88810254.
45201888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (45201887) and next prime (45201889).
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45201887) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 4870 + ... + 10682.
It is an arithmetic number, because the mean of its divisors is an integer number (1851759).
Almost surely, 245201888 is an apocalyptic number.
45201888 is a gapful number since it is divisible by the number (48) 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 45201888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66663324).
45201888 is an abundant number, since it is smaller than the sum of its proper divisors (88124760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45201888 is an equidigital number, since it uses as much as digits as its factorization.
45201888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5838 (or 5818 counting only the distinct ones).
The product of its (nonzero) digits is 20480, while the sum is 36.
The square root of 45201888 is about 6723.2349356541. The cubic root of 45201888 is about 356.2204584922.
The spelling of 45201888 in words is "forty-five million, two hundred one thousand, eight hundred eighty-eight".
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