Search a number
-
+
463868928 = 2103250333
BaseRepresentation
bin11011101001100…
…001010000000000
31012022211222112200
4123221201100000
51422222301203
6114010153200
714331551355
oct3351412000
91168758480
10463868928
11218929656
1210b422800
1375144573
144586c62c
152aacc9a3
hex1ba61400

463868928 has 66 divisors (see below), whose sum is σ = 1339438074. Its totient is φ = 154619904.

The previous prime is 463868927. The next prime is 463868947. The reversal of 463868928 is 829868364.

463868928 is a `hidden beast` number, since 463 + 86 + 89 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 437981184 + 25887744 = 20928^2 + 5088^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463868921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15951 + ... + 34382.

Almost surely, 2463868928 is an apocalyptic number.

463868928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463868928 is an abundant number, since it is smaller than the sum of its proper divisors (875569146).

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

463868928 is a wasteful number, since it uses less digits than its factorization.

463868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50359 (or 50338 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 463868928 is about 21537.6165812283. The cubic root of 463868928 is about 774.1024241996.

The spelling of 463868928 in words is "four hundred sixty-three million, eight hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 50333 100666 150999 201332 301998 402664 452997 603996 805328 905994 1207992 1610656 1811988 2415984 3221312 3623976 4831968 6442624 7247952 9663936 12885248 14495904 19327872 25770496 28991808 38655744 51540992 57983616 77311488 115967232 154622976 231934464 463868928