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63608896 = 261325881
BaseRepresentation
bin1111001010100…
…1100001000000
311102200200000001
43302221201000
5112240441041
610151205344
71401444451
oct362514100
9142620001
1063608896
11329a633a
1219376854
1310241800
14863b128
1558b7131
hex3ca9840

63608896 has 42 divisors (see below), whose sum is σ = 136703562. Its totient is φ = 29352960.

The previous prime is 63608893. The next prime is 63608899. The reversal of 63608896 is 69880636.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63608893) and next prime (63608899).

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 61465600 = 1464^2 + 7840^2 .

It is not an unprimeable number, because it can be changed into a prime (63608893) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7876 + ... + 13756.

Almost surely, 263608896 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 63608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68351781).

63608896 is an abundant number, since it is smaller than the sum of its proper divisors (73094666).

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

63608896 is a wasteful number, since it uses less digits than its factorization.

63608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 63608896 is about 7975.5185411357. The cubic root of 63608896 is about 399.1835345945.

The spelling of 63608896 in words is "sixty-three million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 5881 10816 11762 23524 47048 76453 94096 152906 188192 305812 376384 611624 993889 1223248 1987778 2446496 3975556 4892992 7951112 15902224 31804448 63608896