Base | Representation |
---|---|
bin | 1011100011011… |
… | …1000100000000 |
3 | 10101012000200000 |
4 | 2320313010000 |
5 | 44401210112 |
6 | 4450400000 |
7 | 1125621615 |
oct | 270670400 |
9 | 111160600 |
10 | 48460032 |
11 | 25399815 |
12 | 14290000 |
13 | a06949a |
14 | 661650c |
15 | 43c37dc |
hex | 2e37100 |
48460032 has 216 divisors, whose sum is σ = 156243360. Its totient is φ = 14929920.
The previous prime is 48460021. The next prime is 48460043. The reversal of 48460032 is 23006484.
It is an interprime number because it is at equal distance from previous prime (48460021) and next prime (48460043).
It is a tau number, because it is divible by the number of its divisors (216).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 48459978 and 48460005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181932 + ... + 1181972.
Almost surely, 248460032 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 48460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).
48460032 is an abundant number, since it is smaller than the sum of its proper divisors (107783328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48460032 is an equidigital number, since it uses as much as digits as its factorization.
48460032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91 (or 65 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 48460032 is about 6961.3240119966. The cubic root of 48460032 is about 364.5814480389.
It can be divided in two parts, 484 and 60032, that added together give a square (60516 = 2462).
The spelling of 48460032 in words is "forty-eight million, four hundred sixty thousand, thirty-two".
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