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63488 = 21131
BaseRepresentation
bin1111100000000000
310020002102
433200000
54012423
61205532
7353045
oct174000
9106072
1063488
1143777
12308a8
1322b89
14191cc
1513c28
hexf800

63488 has 24 divisors (see below), whose sum is σ = 131040. Its totient is φ = 30720.

The previous prime is 63487. The next prime is 63493. The reversal of 63488 is 88436.

It is a super-2 number, since 2×634882 = 8061452288, which contains 22 as substring.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2033 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

263488 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 63488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

63488 is an abundant number, since it is smaller than the sum of its proper divisors (67552).

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

63488 is an equidigital number, since it uses as much as digits as its factorization.

63488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 63488 is about 251.9682519684. The cubic root of 63488 is about 39.8930476179.

The spelling of 63488 in words is "sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 7936 15872 31744 63488