Base | Representation |
---|---|
bin | 1101101011100… |
… | …0100100100000 |
3 | 10222222011100000 |
4 | 3122320210200 |
5 | 104142112404 |
6 | 5405500000 |
7 | 1264500006 |
oct | 332704440 |
9 | 128864300 |
10 | 57379104 |
11 | 2a430852 |
12 | 17271600 |
13 | bb70043 |
14 | 7898a76 |
15 | 5086339 |
hex | 36b8920 |
57379104 has 144 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 18600192.
The previous prime is 57379087. The next prime is 57379121. The reversal of 57379104 is 40197375.
It is a happy number.
57379104 is a `hidden beast` number, since 573 + 79 + 10 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (57379087) and next prime (57379121).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 23 ways as a sum of consecutive naturals, for example, 365394 + ... + 365550.
It is an arithmetic number, because the mean of its divisors is an integer number (1207752).
Almost surely, 257379104 is an apocalyptic number.
57379104 is a gapful number since it is divisible by the number (54) 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 57379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).
57379104 is an abundant number, since it is smaller than the sum of its proper divisors (116537184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57379104 is a wasteful number, since it uses less digits than its factorization.
57379104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 229 (or 209 counting only the distinct ones).
The product of its (nonzero) digits is 26460, while the sum is 36.
The square root of 57379104 is about 7574.8996032951. The cubic root of 57379104 is about 385.7014344925.
It can be divided in two parts, 5737 and 9104, that added together give a palindrome (14841).
The spelling of 57379104 in words is "fifty-seven million, three hundred seventy-nine thousand, one hundred four".
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