Base | Representation |
---|---|
bin | 1011101100010… |
… | …0101001100000 |
3 | 10102021111012010 |
4 | 2323010221200 |
5 | 100023234333 |
6 | 4511032520 |
7 | 1133555445 |
oct | 273045140 |
9 | 112244163 |
10 | 49039968 |
11 | 257554aa |
12 | 1450b740 |
13 | a210443 |
14 | 67279cc |
15 | 448a563 |
hex | 2ec4a60 |
49039968 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 15206400.
The previous prime is 49039943. The next prime is 49039973. The reversal of 49039968 is 86993094.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×490399682 = 4809836922882048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246333 + ... + 246531.
It is an arithmetic number, because the mean of its divisors is an integer number (1436400).
Almost surely, 249039968 is an apocalyptic number.
49039968 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 49039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).
49039968 is an abundant number, since it is smaller than the sum of its proper divisors (88854432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49039968 is a wasteful number, since it uses less digits than its factorization.
With its successor (49039969) it forms an eRAP, since the sums of their prime factors are consecutive (380 and 381).
49039968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 380 (or 372 counting only the distinct ones).
The product of its (nonzero) digits is 419904, while the sum is 48.
The square root of 49039968 is about 7002.8542752224. The cubic root of 49039968 is about 366.0300372493.
The spelling of 49039968 in words is "forty-nine million, thirty-nine thousand, nine hundred sixty-eight".
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