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500699368 = 2313171731637
BaseRepresentation
bin11101110110000…
…001000011101000
31021220011011102001
4131312001003220
52011134334433
6121403420344
715256605631
oct3566010350
91256134361
10500699368
112376a4934
1211b8246b4
137c96b520
144a6d8888
152de5557d
hex1dd810e8

500699368 has 64 divisors (see below), whose sum is σ = 1077345360. Its totient is φ = 216109056.

The previous prime is 500699363. The next prime is 500699387. The reversal of 500699368 is 863996005.

It can be written as a sum of positive squares in 8 ways, for example, as 194379364 + 306320004 = 13942^2 + 17502^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (500699363) 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 15 ways as a sum of consecutive naturals, for example, 305046 + ... + 306682.

Almost surely, 2500699368 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 500699368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538672680).

500699368 is an abundant number, since it is smaller than the sum of its proper divisors (576645992).

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

500699368 is a wasteful number, since it uses less digits than its factorization.

500699368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 500699368 is about 22376.3126542333. The cubic root of 500699368 is about 794.0704127460.

The spelling of 500699368 in words is "five hundred million, six hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 173 221 346 442 692 884 1384 1637 1768 2249 2941 3274 4498 5882 6548 8996 11764 13096 17992 21281 23528 27829 38233 42562 55658 76466 85124 111316 152932 170248 222632 283201 305864 361777 566402 723554 1132804 1447108 2265608 2894216 3681613 4814417 7363226 9628834 14726452 19257668 29452904 38515336 62587421 125174842 250349684 500699368