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63024 = 24313101
BaseRepresentation
bin1111011000110000
310012110020
433120300
54004044
61203440
7351513
oct173060
9105406
1063024
1143395
1230580
13228c0
1418d7a
1513a19
hexf630

63024 has 40 divisors (see below), whose sum is σ = 177072. Its totient is φ = 19200.

The previous prime is 62989. The next prime is 63029. The reversal of 63024 is 42036.

63024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 62994 and 63012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63029) by changing a digit.

63024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574 + ... + 674.

263024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536).

63024 is an abundant number, since it is smaller than the sum of its proper divisors (114048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63024 is a wasteful number, since it uses less digits than its factorization.

63024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 63024 is about 251.0458125522. The cubic root of 63024 is about 39.7956242085.

The spelling of 63024 in words is "sixty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 404 606 624 808 1212 1313 1616 2424 2626 3939 4848 5252 7878 10504 15756 21008 31512 63024