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63668448 = 2532221071
BaseRepresentation
bin1111001011100…
…0000011100000
311102210200200200
43302320003200
5112244342243
610152345200
71402113204
oct362700340
9142720620
1063668448
1132a37058
12193a5200
131026294c
148654b04
1558c9ad3
hex3cb80e0

63668448 has 36 divisors (see below), whose sum is σ = 181057968. Its totient is φ = 21222720.

The previous prime is 63668443. The next prime is 63668467. The reversal of 63668448 is 84486636.

63668448 is a `hidden beast` number, since 636 + 6 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63668443) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 110248 + ... + 110823.

It is an arithmetic number, because the mean of its divisors is an integer number (5029388).

Almost surely, 263668448 is an apocalyptic number.

It is an amenable number.

63668448 is an abundant number, since it is smaller than the sum of its proper divisors (117389520).

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

63668448 is a wasteful number, since it uses less digits than its factorization.

63668448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221087 (or 221076 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 63668448 is about 7979.2510926778. The cubic root of 63668448 is about 399.3080704405.

The spelling of 63668448 in words is "sixty-three million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 221071 442142 663213 884284 1326426 1768568 1989639 2652852 3537136 3979278 5305704 7074272 7958556 10611408 15917112 21222816 31834224 63668448