Search a number
-
+
80883200 = 29527189
BaseRepresentation
bin1001101001000…
…10111000000000
312122012021220002
410310202320000
5131201230300
612005335132
72001332036
oct464427000
9178167802
1080883200
1141724822
12231074a8
13139ac3a8
14aa56556
15717a5d5
hex4d22e00

80883200 has 120 divisors (see below), whose sum is σ = 205500240. Its totient is φ = 31539200.

The previous prime is 80883151. The next prime is 80883217. The reversal of 80883200 is 238808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 908756 + ... + 908844.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 280883200 is an apocalyptic number.

80883200 is a gapful number since it is divisible by the number (80) 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 80883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102750120).

80883200 is an abundant number, since it is smaller than the sum of its proper divisors (124617040).

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

80883200 is an equidigital number, since it uses as much as digits as its factorization.

80883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 80883200 is about 8993.5087702187. The cubic root of 80883200 is about 432.4668022232.

The spelling of 80883200 in words is "eighty million, eight hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 89 100 128 142 160 178 200 256 284 320 355 356 400 445 512 568 640 710 712 800 890 1136 1280 1420 1424 1600 1775 1780 2225 2272 2560 2840 2848 3200 3550 3560 4450 4544 5680 5696 6319 6400 7100 7120 8900 9088 11360 11392 12638 12800 14200 14240 17800 18176 22720 22784 25276 28400 28480 31595 35600 36352 45440 45568 50552 56800 56960 63190 71200 90880 101104 113600 113920 126380 142400 157975 181760 202208 227200 227840 252760 284800 315950 404416 454400 505520 569600 631900 808832 908800 1011040 1139200 1263800 1617664 2022080 2527600 3235328 4044160 5055200 8088320 10110400 16176640 20220800 40441600 80883200