Base | Representation |
---|---|
bin | 1101101101101… |
… | …1010000000000 |
3 | 11000020101012001 |
4 | 3123123100000 |
5 | 104211134102 |
6 | 5412513344 |
7 | 1265631103 |
oct | 333332000 |
9 | 130211161 |
10 | 57521152 |
11 | 2a518547 |
12 | 1731b854 |
13 | bbbc8b0 |
14 | 78d473a |
15 | 50b3487 |
hex | 36db400 |
57521152 has 88 divisors (see below), whose sum is σ = 128961000. Its totient is φ = 25460736.
The previous prime is 57521131. The next prime is 57521159. The reversal of 57521152 is 25112575.
It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 57517056 = 64^2 + 7584^2 .
It is a nialpdrome in base 8.
It is a self number, because there is not a number n which added to its sum of digits gives 57521152.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57521159) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 385974 + ... + 386122.
Almost surely, 257521152 is an apocalyptic number.
57521152 is a gapful number since it is divisible by the number (52) 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 57521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64480500).
57521152 is an abundant number, since it is smaller than the sum of its proper divisors (71439848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57521152 is a wasteful number, since it uses less digits than its factorization.
57521152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 211 (or 193 counting only the distinct ones).
The product of its digits is 3500, while the sum is 28.
The square root of 57521152 is about 7584.2700373866. The cubic root of 57521152 is about 386.0194536805.
The spelling of 57521152 in words is "fifty-seven million, five hundred twenty-one thousand, one hundred fifty-two".
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