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63283872 = 2535911173
BaseRepresentation
bin1111000101101…
…0001010100000
311102002011011010
43301122022200
5112200040442
610140220520
71365622041
oct361321240
9142064133
1063283872
11327a4123
121923a740
13101598a2
1485948c8
155850b9c
hex3c5a2a0

63283872 has 48 divisors (see below), whose sum is σ = 168950880. Its totient is φ = 20735232.

The previous prime is 63283861. The next prime is 63283897. The reversal of 63283872 is 27838236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 63283872.

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, 78 + ... + 11250.

It is an arithmetic number, because the mean of its divisors is an integer number (3519810).

Almost surely, 263283872 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 63283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84475440).

63283872 is an abundant number, since it is smaller than the sum of its proper divisors (105667008).

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

63283872 is a wasteful number, since it uses less digits than its factorization.

63283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11237 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 63283872 is about 7955.1160896620. The cubic root of 63283872 is about 398.5024671517.

The spelling of 63283872 in words is "sixty-three million, two hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 11173 22346 33519 44692 67038 89384 134076 178768 268152 357536 536304 659207 1072608 1318414 1977621 2636828 3955242 5273656 7910484 10547312 15820968 21094624 31641936 63283872