Search a number
-
+
494056368 = 24331387973
BaseRepresentation
bin11101011100101…
…011001110110000
31021102122122221000
4131130223032300
52002434300433
6121005202000
715146260401
oct3534531660
91242578830
10494056368
11233977953
12119560300
137b483960
14498899a8
152d592113
hex1d72b3b0

494056368 has 80 divisors (see below), whose sum is σ = 1527228640. Its totient is φ = 152015616.

The previous prime is 494056361. The next prime is 494056379. The reversal of 494056368 is 863650494.

494056368 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 5 + 636 + 8 = 666.

It is a super-2 number, since 2×4940563682 = 488183389522702848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (494056361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38371 + ... + 49602.

It is an arithmetic number, because the mean of its divisors is an integer number (19090358).

Almost surely, 2494056368 is an apocalyptic number.

494056368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

494056368 is an abundant number, since it is smaller than the sum of its proper divisors (1033172272).

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

494056368 is a wasteful number, since it uses less digits than its factorization.

494056368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88003 (or 87991 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 494056368 is about 22227.3787928312. The cubic root of 494056368 is about 790.5430054125.

The spelling of 494056368 in words is "four hundred ninety-four million, fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 87973 175946 263919 351892 527838 703784 791757 1055676 1143649 1407568 1583514 2111352 2287298 2375271 3167028 3430947 4222704 4574596 4750542 6334056 6861894 9149192 9501084 10292841 12668112 13723788 18298384 19002168 20585682 27447576 30878523 38004336 41171364 54895152 61757046 82342728 123514092 164685456 247028184 494056368