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63504 = 243472
BaseRepresentation
bin1111100000010000
310020010000
433200100
54013004
61210000
7353100
oct174020
9106100
1063504
1143791
1230900
1322b9c
1419200
1513c39
hexf810

63504 has 75 divisors (see below), whose sum is σ = 213807. Its totient is φ = 18144.

The previous prime is 63499. The next prime is 63521. The reversal of 63504 is 40536.

It is a happy number.

The square root of 63504 is 252.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9069 + ... + 9075.

263504 is an apocalyptic number.

63504 is the 252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63504

63504 is an abundant number, since it is smaller than the sum of its proper divisors (150303).

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

63504 is a wasteful number, since it uses less digits than its factorization.

63504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The cubic root of 63504 is about 39.8963985669.

The spelling of 63504 in words is "sixty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504