Base | Representation |
---|---|
bin | 1111000010001… |
… | …0110111000000 |
3 | 11101122122102012 |
4 | 3300202313000 |
5 | 112120313334 |
6 | 10131312052 |
7 | 1363656440 |
oct | 360426700 |
9 | 141578365 |
10 | 63057344 |
11 | 32659a09 |
12 | 1914b628 |
13 | 100aa74c |
14 | 8536120 |
15 | 58089ce |
hex | 3c22dc0 |
63057344 has 56 divisors (see below), whose sum is σ = 146535648. Its totient is φ = 26357760.
The previous prime is 63057331. The next prime is 63057367. The reversal of 63057344 is 44375036.
It is a tau number, because it is divible by the number of its divisors (56).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 63057344.
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 7 ways as a sum of consecutive naturals, for example, 16652 + ... + 20084.
It is an arithmetic number, because the mean of its divisors is an integer number (2616708).
Almost surely, 263057344 is an apocalyptic number.
63057344 is a gapful number since it is divisible by the number (64) 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 63057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73267824).
63057344 is an abundant number, since it is smaller than the sum of its proper divisors (83478304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63057344 is a wasteful number, since it uses less digits than its factorization.
63057344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3493 (or 3483 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 32.
The square root of 63057344 is about 7940.8654440181. The cubic root of 63057344 is about 398.0264117217.
The spelling of 63057344 in words is "sixty-three million, fifty-seven thousand, three hundred forty-four".
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