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63048 = 2333771
BaseRepresentation
bin1111011001001000
310012111010
433121020
54004143
61203520
7351546
oct173110
9105433
1063048
1143407
12305a0
132290b
1418d96
1513a33
hexf648

63048 has 32 divisors (see below), whose sum is σ = 164160. Its totient is φ = 20160.

The previous prime is 63031. The next prime is 63059. The reversal of 63048 is 84036.

63048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

63048 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, 853 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

263048 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 63048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

63048 is an abundant number, since it is smaller than the sum of its proper divisors (101112).

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

63048 is a wasteful number, since it uses less digits than its factorization.

63048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 63048 is about 251.0936080429. The cubic root of 63048 is about 39.8006750557.

The spelling of 63048 in words is "sixty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1704 2627 5254 7881 10508 15762 21016 31524 63048