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5080800 = 253522973
BaseRepresentation
bin10011011000011011100000
3100120010112210
4103120123200
52300041200
6300522120
761120554
oct23303340
910503483
105080800
11296030a
121850340
13108b7ba
14963864
156a5650
hex4d86e0

5080800 has 144 divisors (see below), whose sum is σ = 17342640. Its totient is φ = 1290240.

The previous prime is 5080799. The next prime is 5080813. The reversal of 5080800 is 80805.

5080800 = T336 + T337 + ... + T408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69564 + ... + 69636.

It is an arithmetic number, because the mean of its divisors is an integer number (120435).

Almost surely, 25080800 is an apocalyptic number.

5080800 is a gapful number since it is divisible by the number (50) 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 5080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671320).

5080800 is an abundant number, since it is smaller than the sum of its proper divisors (12261840).

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

5080800 is a wasteful number, since it uses less digits than its factorization.

5080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5080800 is about 2254.0629982323. The cubic root of 5080800 is about 171.9137840851.

The spelling of 5080800 in words is "five million, eighty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 73 75 80 87 96 100 116 120 145 146 150 160 174 200 219 232 240 290 292 300 348 365 400 435 438 464 480 580 584 600 696 725 730 800 870 876 928 1095 1160 1168 1200 1392 1450 1460 1740 1752 1825 2117 2175 2190 2320 2336 2400 2784 2900 2920 3480 3504 3650 4234 4350 4380 4640 5475 5800 5840 6351 6960 7008 7300 8468 8700 8760 10585 10950 11600 11680 12702 13920 14600 16936 17400 17520 21170 21900 23200 25404 29200 31755 33872 34800 35040 42340 43800 50808 52925 58400 63510 67744 69600 84680 87600 101616 105850 127020 158775 169360 175200 203232 211700 254040 317550 338720 423400 508080 635100 846800 1016160 1270200 1693600 2540400 5080800