Search a number
-
+
63486336 = 273295701
BaseRepresentation
bin1111001000101…
…1100110000000
311102110102212210
43302023212000
5112223030321
610144422120
71400424234
oct362134600
9142412783
1063486336
1132922251
1219317940
13101caaa4
1486085c4
155890b76
hex3c8b980

63486336 has 64 divisors (see below), whose sum is σ = 174481200. Its totient is φ = 20428800.

The previous prime is 63486323. The next prime is 63486337. The reversal of 63486336 is 63368436.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63486294 and 63486303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63486337) by changing a digit.

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, 8286 + ... + 13986.

Almost surely, 263486336 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 63486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87240600).

63486336 is an abundant number, since it is smaller than the sum of its proper divisors (110994864).

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

63486336 is a wasteful number, since it uses less digits than its factorization.

63486336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5735 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 63486336 is about 7967.8313235158. The cubic root of 63486336 is about 398.9269908689.

The spelling of 63486336 in words is "sixty-three million, four hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 5701 11136 11402 17103 22804 34206 45608 68412 91216 136824 165329 182432 273648 330658 364864 495987 547296 661316 729728 991974 1094592 1322632 1983948 2189184 2645264 3967896 5290528 7935792 10581056 15871584 21162112 31743168 63486336