Base | Representation |
---|---|
bin | 1011100111001… |
… | …1010110000000 |
3 | 10101122120100220 |
4 | 2321303112000 |
5 | 44432110234 |
6 | 4455543040 |
7 | 1131000516 |
oct | 271632600 |
9 | 111576326 |
10 | 48706944 |
11 | 25548280 |
12 | 1438aa80 |
13 | a1249a0 |
14 | 667c4b6 |
15 | 4421a49 |
hex | 2e73580 |
48706944 has 128 divisors (see below), whose sum is σ = 152167680. Its totient is φ = 13608960.
The previous prime is 48706943. The next prime is 48706963. The reversal of 48706944 is 44960784.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 48706896 and 48706905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48706943) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54469 + ... + 55355.
It is an arithmetic number, because the mean of its divisors is an integer number (1188810).
Almost surely, 248706944 is an apocalyptic number.
48706944 is a gapful number since it is divisible by the number (44) 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 48706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).
48706944 is an abundant number, since it is smaller than the sum of its proper divisors (103460736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48706944 is a wasteful number, since it uses less digits than its factorization.
48706944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 928 (or 916 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 42.
The square root of 48706944 is about 6979.0360365884. The cubic root of 48706944 is about 365.1996005925.
The spelling of 48706944 in words is "forty-eight million, seven hundred six thousand, nine hundred forty-four".
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