Search a number
-
+
499968 = 2832731
BaseRepresentation
bin1111010000100000000
3221101211100
41322010000
5111444333
614414400
74151430
oct1720400
9841740
10499968
113116a7
12201400
13146751
14d02c0
159d213
hex7a100

499968 has 108 divisors (see below), whose sum is σ = 1700608. Its totient is φ = 138240.

The previous prime is 499957. The next prime is 499969. The reversal of 499968 is 869994.

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

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 499968.

It is not an unprimeable number, because it can be changed into a prime (499969) by changing a digit.

499968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16113 + ... + 16143.

2499968 is an apocalyptic number.

499968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850304).

499968 is an abundant number, since it is smaller than the sum of its proper divisors (1200640).

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

499968 is a wasteful number, since it uses less digits than its factorization.

499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 499968 is about 707.0841534075. The cubic root of 499968 is about 79.3683593345.

Adding to 499968 its product of digits (139968), we get a palindrome (639936).

Subtracting from 499968 its product of digits (139968), we obtain a square (360000 = 6002).

The spelling of 499968 in words is "four hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 112 124 126 128 144 168 186 192 217 224 248 252 256 279 288 336 372 384 434 448 496 504 558 576 651 672 744 768 868 896 992 1008 1116 1152 1302 1344 1488 1736 1792 1953 1984 2016 2232 2304 2604 2688 2976 3472 3906 3968 4032 4464 5208 5376 5952 6944 7812 7936 8064 8928 10416 11904 13888 15624 16128 17856 20832 23808 27776 31248 35712 41664 55552 62496 71424 83328 124992 166656 249984 499968