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499827348 = 223410914153
BaseRepresentation
bin11101110010101…
…100001010010100
31021211111212020000
4131302230022110
52010423433343
6121333011300
715246314406
oct3562541224
91254455200
10499827348
11237159759
1211b483b30
137c724637
144a54cb76
152dd31ed3
hex1dcac294

499827348 has 60 divisors (see below), whose sum is σ = 1318728180. Its totient is φ = 165068928.

The previous prime is 499827271. The next prime is 499827359. The reversal of 499827348 is 843728994.

499827348 is a `hidden beast` number, since 499 + 82 + 73 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270668304 + 229159044 = 16452^2 + 15138^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 499827294 and 499827303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28240 + ... + 42392.

It is an arithmetic number, because the mean of its divisors is an integer number (21978803).

Almost surely, 2499827348 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 499827348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659364090).

499827348 is an abundant number, since it is smaller than the sum of its proper divisors (818900832).

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

499827348 is a wasteful number, since it uses less digits than its factorization.

499827348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278 (or 14267 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 499827348 is about 22356.8188255843. The cubic root of 499827348 is about 793.6091594781.

The spelling of 499827348 in words is "four hundred ninety-nine million, eight hundred twenty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 14153 17658 28306 35316 42459 56612 84918 127377 169836 254754 382131 509508 764262 1146393 1528524 1542677 2292786 3085354 4585572 4628031 6170708 9256062 13884093 18512124 27768186 41652279 55536372 83304558 124956837 166609116 249913674 499827348