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63428100 = 22352211427
BaseRepresentation
bin1111000111110…
…1011000000100
311102100110222220
43301331120010
5112214144400
610143252340
71400062401
oct361753004
9142313886
1063428100
113289251a
12192aa0b0
13101aa428
1485d12a8
15587d7a0
hex3c7d604

63428100 has 36 divisors (see below), whose sum is σ = 183519504. Its totient is φ = 16914080.

The previous prime is 63428093. The next prime is 63428111. The reversal of 63428100 is 182436.

It is a happy number.

63428100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×634281002 = 8046247739220000, which contains 22 as substring.

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, 105414 + ... + 106013.

It is an arithmetic number, because the mean of its divisors is an integer number (5097764).

Almost surely, 263428100 is an apocalyptic number.

63428100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63428100 is an abundant number, since it is smaller than the sum of its proper divisors (120091404).

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

63428100 is a wasteful number, since it uses less digits than its factorization.

63428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211444 (or 211437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 63428100 is about 7964.1760402442. The cubic root of 63428100 is about 398.8049750103.

The spelling of 63428100 in words is "sixty-three million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 211427 422854 634281 845708 1057135 1268562 2114270 2537124 3171405 4228540 5285675 6342810 10571350 12685620 15857025 21142700 31714050 63428100