Base | Representation |
---|---|
bin | 1101101001000… |
… | …0110001100000 |
3 | 10222122212201200 |
4 | 3122100301200 |
5 | 104121403341 |
6 | 5402201200 |
7 | 1263220530 |
oct | 332206140 |
9 | 128585650 |
10 | 57216096 |
11 | 2a32a333 |
12 | 171b3200 |
13 | bb13aa2 |
14 | 78554c0 |
15 | 5052db6 |
hex | 3690c60 |
57216096 has 144 divisors (see below), whose sum is σ = 188461728. Its totient is φ = 16128000.
The previous prime is 57216083. The next prime is 57216113. The reversal of 57216096 is 69061275.
It is a tau number, because it is divible by the number of its divisors (144).
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 self number, because there is not a number n which added to its sum of digits gives 57216096.
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, 203476 + ... + 203756.
It is an arithmetic number, because the mean of its divisors is an integer number (1308762).
Almost surely, 257216096 is an apocalyptic number.
57216096 is a gapful number since it is divisible by the number (56) 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 57216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94230864).
57216096 is an abundant number, since it is smaller than the sum of its proper divisors (131245632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57216096 is a wasteful number, since it uses less digits than its factorization.
57216096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 405 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 36.
The square root of 57216096 is about 7564.1322040271. The cubic root of 57216096 is about 385.3358423334.
It can be divided in two parts, 57 and 216096, that added together give a triangular number (216153 = T657).
The spelling of 57216096 in words is "fifty-seven million, two hundred sixteen thousand, ninety-six".
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