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499213368 = 23389511
BaseRepresentation
bin11101110000010…
…110010000111000
31021210100200000000
4131300112100320
52010244311433
6121311513000
715241146363
oct3560262070
91253320000
10499213368
1123687a435
1211b228760
137c56b034
144a42d0da
152dc60113
hex1dc16438

499213368 has 72 divisors (see below), whose sum is σ = 1404113880. Its totient is φ = 166386960.

The previous prime is 499213339. The next prime is 499213369. The reversal of 499213368 is 863312994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499213369) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 47733 + ... + 57243.

Almost surely, 2499213368 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 499213368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702056940).

499213368 is an abundant number, since it is smaller than the sum of its proper divisors (904900512).

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

499213368 is an frugal number, since it uses more digits than its factorization.

499213368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9516 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 499213368 is about 22343.0832250162. The cubic root of 499213368 is about 793.2840740233.

The spelling of 499213368 in words is "four hundred ninety-nine million, two hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 9511 13122 17496 19022 26244 28533 38044 52488 57066 76088 85599 114132 171198 228264 256797 342396 513594 684792 770391 1027188 1540782 2054376 2311173 3081564 4622346 6163128 6933519 9244692 13867038 18489384 20800557 27734076 41601114 55468152 62401671 83202228 124803342 166404456 249606684 499213368