Search a number
-
+
499840416 = 25332325153
BaseRepresentation
bin11101110010101…
…111010110100000
31021211112112011000
4131302233112200
52010424343131
6121333152000
715246400455
oct3562572640
91254475130
10499840416
11237168559
1211b48b600
137c72a57a
144a55382c
152dd35ce6
hex1dcaf5a0

499840416 has 96 divisors (see below), whose sum is σ = 1521313920. Its totient is φ = 159363072.

The previous prime is 499840387. The next prime is 499840427. The reversal of 499840416 is 614048994.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4998404163 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7296 + ... + 32448.

It is an arithmetic number, because the mean of its divisors is an integer number (15847020).

Almost surely, 2499840416 is an apocalyptic number.

499840416 is a gapful number since it is divisible by the number (46) 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 499840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760656960).

499840416 is an abundant number, since it is smaller than the sum of its proper divisors (1021473504).

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

499840416 is a wasteful number, since it uses less digits than its factorization.

499840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25195 (or 25181 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 499840416 is about 22357.1110835009. Note that the first 3 decimals coincide. The cubic root of 499840416 is about 793.6160757290.

The spelling of 499840416 in words is "four hundred ninety-nine million, eight hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 25153 50306 75459 100612 150918 201224 226377 301836 402448 452754 578519 603672 679131 804896 905508 1157038 1207344 1358262 1735557 1811016 2314076 2414688 2716524 3471114 3622032 4628152 5206671 5433048 6942228 7244064 9256304 10413342 10866096 13884456 15620013 18512608 20826684 21732192 27768912 31240026 41653368 55537824 62480052 83306736 124960104 166613472 249920208 499840416