Base | Representation |
---|---|
bin | 10001101111010… |
… | …00111101010000 |
3 | 101100222222220100 |
4 | 20313220331100 |
5 | 301043202113 |
6 | 22433212400 |
7 | 3454544115 |
oct | 1067507520 |
9 | 340888810 |
10 | 148803408 |
11 | 76aa5226 |
12 | 41a01100 |
13 | 24aa0370 |
14 | 15a9690c |
15 | d0e4d73 |
hex | 8de8f50 |
148803408 has 120 divisors (see below), whose sum is σ = 464110920. Its totient is φ = 44190720.
The previous prime is 148803407. The next prime is 148803409. The reversal of 148803408 is 804308841.
148803408 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 (148803407) and next prime (148803409).
It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 147185424 = 1272^2 + 12132^2 .
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 (148803407) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52918 + ... + 55658.
It is an arithmetic number, because the mean of its divisors is an integer number (3867591).
Almost surely, 2148803408 is an apocalyptic number.
148803408 is a gapful number since it is divisible by the number (18) 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 148803408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232055460).
148803408 is an abundant number, since it is smaller than the sum of its proper divisors (315307512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148803408 is a wasteful number, since it uses less digits than its factorization.
148803408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2797 (or 2788 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 148803408 is about 12198.5002356847. The cubic root of 148803408 is about 529.9126567827.
The spelling of 148803408 in words is "one hundred forty-eight million, eight hundred three thousand, four hundred eight".
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