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63728420 = 2257265029
BaseRepresentation
bin1111001100011…
…0101100100100
311102220201221212
43303012230210
5112303302140
610153530552
71402453100
oct363065444
9142821855
1063728420
1132a78118
1219413a58
1310284032
14866c900
1558dc765
hex3cc6b24

63728420 has 36 divisors (see below), whose sum is σ = 155681820. Its totient is φ = 21849408.

The previous prime is 63728417. The next prime is 63728429. The reversal of 63728420 is 2482736.

63728420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50580544 + 13147876 = 7112^2 + 3626^2 .

It is a super-2 number, since 2×637284202 = 8122623031392800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63728429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31535 + ... + 33494.

It is an arithmetic number, because the mean of its divisors is an integer number (4324495).

Almost surely, 263728420 is an apocalyptic number.

It is an amenable number.

63728420 is an abundant number, since it is smaller than the sum of its proper divisors (91953400).

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

63728420 is a wasteful number, since it uses less digits than its factorization.

63728420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65052 (or 65043 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 63728420 is about 7983.0082049313. The cubic root of 63728420 is about 399.4334061408.

The spelling of 63728420 in words is "sixty-three million, seven hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 65029 130058 260116 325145 455203 650290 910406 1300580 1820812 2276015 3186421 4552030 6372842 9104060 12745684 15932105 31864210 63728420