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63830016 = 211323463
BaseRepresentation
bin1111001101111…
…1100000000000
311110002220022200
43303133200000
5112320030031
610200033200
71403355225
oct363374000
9143086280
1063830016
1133037488
1219462800
13102bb353
14869794c
15590c8e6
hex3cdf800

63830016 has 72 divisors (see below), whose sum is σ = 184406040. Its totient is φ = 21270528.

The previous prime is 63830009. The next prime is 63830021. The reversal of 63830016 is 61003836.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

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, 16701 + ... + 20163.

It is an arithmetic number, because the mean of its divisors is an integer number (2561195).

Almost surely, 263830016 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 63830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92203020).

63830016 is an abundant number, since it is smaller than the sum of its proper divisors (120576024).

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

63830016 is a wasteful number, since it uses less digits than its factorization.

63830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63830016 is about 7989.3689362803. The cubic root of 63830016 is about 399.6455526772.

The spelling of 63830016 in words is "sixty-three million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3463 4608 6144 6926 9216 10389 13852 18432 20778 27704 31167 41556 55408 62334 83112 110816 124668 166224 221632 249336 332448 443264 498672 664896 886528 997344 1329792 1773056 1994688 2659584 3546112 3989376 5319168 7092224 7978752 10638336 15957504 21276672 31915008 63830016