Base | Representation |
---|---|
bin | 1011011111010… |
… | …1100010000000 |
3 | 10100200101110200 |
4 | 2313311202000 |
5 | 44314112431 |
6 | 4440525200 |
7 | 1123423224 |
oct | 267654200 |
9 | 110611420 |
10 | 48191616 |
11 | 25226090 |
12 | 14180800 |
13 | 9ca4265 |
14 | 6586784 |
15 | 436dee6 |
hex | 2df5880 |
48191616 has 96 divisors (see below), whose sum is σ = 151323120. Its totient is φ = 14599680.
The previous prime is 48191609. The next prime is 48191677. The reversal of 48191616 is 61619184.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10771 + ... + 14573.
Almost surely, 248191616 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 48191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75661560).
48191616 is an abundant number, since it is smaller than the sum of its proper divisors (103131504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48191616 is a wasteful number, since it uses less digits than its factorization.
48191616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3834 (or 3819 counting only the distinct ones).
The product of its digits is 10368, while the sum is 36.
The square root of 48191616 is about 6942.0181503652. The cubic root of 48191616 is about 363.9070728447.
The spelling of 48191616 in words is "forty-eight million, one hundred ninety-one thousand, six hundred sixteen".
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