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63685216 = 257401709
BaseRepresentation
bin1111001011110…
…0001001100000
311102211112200201
43302330021200
5112300411331
610152554544
71402213120
oct362741140
9142745621
1063685216
1132a48711
12193b2a54
131026a47a
14865ac80
1558cea61
hex3cbc260

63685216 has 48 divisors (see below), whose sum is σ = 143851680. Its totient is φ = 27187200.

The previous prime is 63685211. The next prime is 63685217. The reversal of 63685216 is 61258636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63685211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89470 + ... + 90178.

It is an arithmetic number, because the mean of its divisors is an integer number (2996910).

Almost surely, 263685216 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 63685216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71925840).

63685216 is an abundant number, since it is smaller than the sum of its proper divisors (80166464).

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

63685216 is a wasteful number, since it uses less digits than its factorization.

63685216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 63685216 is about 7980.3017486809. The cubic root of 63685216 is about 399.3431218683.

The spelling of 63685216 in words is "sixty-three million, six hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 401 709 802 1418 1604 2807 2836 3208 4963 5614 5672 6416 9926 11228 11344 12832 19852 22456 22688 39704 44912 79408 89824 158816 284309 568618 1137236 1990163 2274472 3980326 4548944 7960652 9097888 15921304 31842608 63685216