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63664448 = 26531372
BaseRepresentation
bin1111001011011…
…1000101000000
311102210111012112
43302313011000
5112244230243
610152314452
71402065431
oct362670500
9142714175
1063664448
1132a34051
12193a2a28
1310260b93
148653488
1558c8818
hex3cb7140

63664448 has 42 divisors (see below), whose sum is σ = 129664206. Its totient is φ = 31003648.

The previous prime is 63664429. The next prime is 63664451. The reversal of 63664448 is 84446636.

It can be written as a sum of positive squares in 3 ways, for example, as 19998784 + 43665664 = 4472^2 + 6608^2 .

Its product of digits (331776) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 464636 + ... + 464772.

It is an arithmetic number, because the mean of its divisors is an integer number (3087243).

Almost surely, 263664448 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 63664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64832103).

63664448 is an abundant number, since it is smaller than the sum of its proper divisors (65999758).

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

63664448 is an equidigital number, since it uses as much as digits as its factorization.

63664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 192 counting only the distinct ones).

The product of its digits is 331776, while the sum is 41.

The square root of 63664448 is about 7979.0004386514. Note that the first 3 decimals coincide. The cubic root of 63664448 is about 399.2997080267.

The spelling of 63664448 in words is "sixty-three million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 137 212 274 424 548 848 1096 1696 2192 3392 4384 7261 8768 14522 18769 29044 37538 58088 75076 116176 150152 232352 300304 464704 600608 994757 1201216 1989514 3979028 7958056 15916112 31832224 63664448