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63420456 = 23311221839
BaseRepresentation
bin1111000111101…
…1100000101000
311102100002111210
43301323200220
5112213423311
610143153120
71400031201
oct361734050
9142302453
1063420456
1132887800
12192a57a0
13101a6ac8
1485cc5a8
15587b3a6
hex3c7b828

63420456 has 48 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 19217440.

The previous prime is 63420433. The next prime is 63420517. The reversal of 63420456 is 65402436.

63420456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 8016 + ... + 13823.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 263420456 is an apocalyptic number.

63420456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63420456 is an abundant number, since it is smaller than the sum of its proper divisors (110862744).

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

63420456 is a wasteful number, since it uses less digits than its factorization.

63420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21870 (or 21855 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 63420456 is about 7963.6961267994. The cubic root of 63420456 is about 398.7889537847.

The spelling of 63420456 in words is "sixty-three million, four hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 21839 43678 65517 87356 131034 174712 240229 262068 480458 524136 720687 960916 1441374 1921832 2642519 2882748 5285038 5765496 7927557 10570076 15855114 21140152 31710228 63420456