Search a number
-
+
63486348 = 22323273137
BaseRepresentation
bin1111001000101…
…1100110001100
311102110102220020
43302023212030
5112223030343
610144422140
71400424252
oct362134614
9142412806
1063486348
1132922262
1219317950
13101caab3
1486085d2
155890b83
hex3c8b98c

63486348 has 72 divisors (see below), whose sum is σ = 158122608. Its totient is φ = 19819008.

The previous prime is 63486341. The next prime is 63486349. The reversal of 63486348 is 84368436.

63486348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63486341) 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 23 ways as a sum of consecutive naturals, for example, 463336 + ... + 463472.

Almost surely, 263486348 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 63486348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79061304).

63486348 is an abundant number, since it is smaller than the sum of its proper divisors (94636260).

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

63486348 is a wasteful number, since it uses less digits than its factorization.

63486348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 63486348 is about 7967.8320765438. The cubic root of 63486348 is about 398.9270160036.

The spelling of 63486348 in words is "sixty-three million, four hundred eighty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 137 138 146 219 274 276 292 411 438 529 548 822 876 1058 1587 1644 1679 2116 3151 3174 3358 5037 6302 6348 6716 9453 10001 10074 12604 18906 20002 20148 30003 37812 38617 40004 60006 72473 77234 115851 120012 144946 154468 217419 230023 231702 289892 434838 460046 463404 690069 869676 920092 1380138 2760276 5290529 10581058 15871587 21162116 31743174 63486348