Search a number
-
+
493126488 = 23332419473
BaseRepresentation
bin11101011001001…
…000001101011000
31021100220102101000
4131121020031120
52002220021423
6120533225000
715135335361
oct3531101530
91240812330
10493126488
112333a2258
12119192160
137b21962a
14496c6b68
152d45b843
hex1d648358

493126488 has 64 divisors (see below), whose sum is σ = 1375624800. Its totient is φ = 163676160.

The previous prime is 493126477. The next prime is 493126507. The reversal of 493126488 is 884621394.

It is a happy number.

493126488 is a `hidden beast` number, since 49 + 3 + 126 + 488 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47320 + ... + 56792.

Almost surely, 2493126488 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 493126488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687812400).

493126488 is an abundant number, since it is smaller than the sum of its proper divisors (882498312).

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

493126488 is a wasteful number, since it uses less digits than its factorization.

493126488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729 (or 9719 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 493126488 is about 22206.4514950048. The cubic root of 493126488 is about 790.0467247907.

The spelling of 493126488 in words is "four hundred ninety-three million, one hundred twenty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 241 482 723 964 1446 1928 2169 2892 4338 5784 6507 8676 9473 13014 17352 18946 26028 28419 37892 52056 56838 75784 85257 113676 170514 227352 255771 341028 511542 682056 1023084 2046168 2282993 4565986 6848979 9131972 13697958 18263944 20546937 27395916 41093874 54791832 61640811 82187748 123281622 164375496 246563244 493126488