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499000960 = 2758832
BaseRepresentation
bin11101101111100…
…010011010000000
31021202221212122001
4131233202122000
52010221012320
6121303153344
715236303203
oct3557423200
91252855561
10499000960
11236744897
1211b145854
137c4c5453
144a3b593a
152dc1c20a
hex1dbe2680

499000960 has 48 divisors (see below), whose sum is σ = 1194276690. Its totient is φ = 199374336.

The previous prime is 499000919. The next prime is 499000961. The reversal of 499000960 is 69000994.

It can be written as a sum of positive squares in only one way, i.e., 449100864 + 49900096 = 21192^2 + 7064^2 .

It is not an unprimeable number, because it can be changed into a prime (499000961) 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, 564679 + ... + 565561.

Almost surely, 2499000960 is an apocalyptic number.

499000960 is a gapful number since it is divisible by the number (40) 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 499000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597138345).

499000960 is an abundant number, since it is smaller than the sum of its proper divisors (695275730).

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

499000960 is an frugal number, since it uses more digits than its factorization.

499000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 499000960 is about 22338.3293914294. The cubic root of 499000960 is about 793.1715477983.

It can be divided in two parts, 49 and 9000960, that added together give a palindrome (9001009).

The spelling of 499000960 in words is "four hundred ninety-nine million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 883 1766 3532 4415 7064 8830 14128 17660 28256 35320 56512 70640 113024 141280 282560 565120 779689 1559378 3118756 3898445 6237512 7796890 12475024 15593780 24950048 31187560 49900096 62375120 99800192 124750240 249500480 499000960