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63228320 = 2551392843
BaseRepresentation
bin1111000100110…
…0100110100000
311101222022221122
43301030212200
5112141301240
610135111412
71365301061
oct361144640
9141868848
1063228320
1132766411
1219212568
131013a50c
14857c568
15583e4b5
hex3c4c9a0

63228320 has 48 divisors (see below), whose sum is σ = 150504480. Its totient is φ = 25100544.

The previous prime is 63228317. The next prime is 63228331. The reversal of 63228320 is 2382236.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 63228320.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20819 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (3135510).

Almost surely, 263228320 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 63228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75252240).

63228320 is an abundant number, since it is smaller than the sum of its proper divisors (87276160).

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

63228320 is a wasteful number, since it uses less digits than its factorization.

63228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 63228320 is about 7951.6237335528. The cubic root of 63228320 is about 398.3858282191.

The spelling of 63228320 in words is "sixty-three million, two hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 2843 4448 5560 5686 11120 11372 14215 22240 22744 28430 45488 56860 90976 113720 227440 395177 454880 790354 1580708 1975885 3161416 3951770 6322832 7903540 12645664 15807080 31614160 63228320