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63130848 = 25311191313
BaseRepresentation
bin1111000011010…
…0110011100000
311101210101020120
43300310303200
5112130141343
610133040240
71364413644
oct360646340
9141711216
1063130848
11326aa160
1219186080
1310105041
148554c24
155820683
hex3c34ce0

63130848 has 96 divisors (see below), whose sum is σ = 182310912. Its totient is φ = 18969600.

The previous prime is 63130831. The next prime is 63130861. The reversal of 63130848 is 84803136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201540 + ... + 201852.

It is an arithmetic number, because the mean of its divisors is an integer number (1899072).

Almost surely, 263130848 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 63130848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91155456).

63130848 is an abundant number, since it is smaller than the sum of its proper divisors (119180064).

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

63130848 is a wasteful number, since it uses less digits than its factorization.

63130848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 63130848 is about 7945.4923069625. The cubic root of 63130848 is about 398.1810073699.

The spelling of 63130848 in words is "sixty-three million, one hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 191 264 313 352 382 528 573 626 764 939 1056 1146 1252 1528 1878 2101 2292 2504 3056 3443 3756 4202 4584 5008 6112 6303 6886 7512 8404 9168 10016 10329 12606 13772 15024 16808 18336 20658 25212 27544 30048 33616 41316 50424 55088 59783 67232 82632 100848 110176 119566 165264 179349 201696 239132 330528 358698 478264 657613 717396 956528 1315226 1434792 1913056 1972839 2630452 2869584 3945678 5260904 5739168 7891356 10521808 15782712 21043616 31565424 63130848