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800012500 = 2255741223
BaseRepresentation
bin101111101011110…
…011100011010100
32001202100211211121
4233223303203110
53114300400000
6211215013324
725552664650
oct5753634324
92052324747
10800012500
1138064a261
121a3b0a244
13c99887a1
147836da60
154a37ab1a
hex2faf38d4

800012500 has 144 divisors (see below), whose sum is σ = 2057868288. Its totient is φ = 266400000.

The previous prime is 800012491. The next prime is 800012501. The reversal of 800012500 is 5210008.

It is a happy number.

It is a sliding number, since 800012500 = 12500 + 800000000 and 1/12500 + 1/800000000 = 0.0000800012500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800012501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3587389 + ... + 3587611.

It is an arithmetic number, because the mean of its divisors is an integer number (14290752).

Almost surely, 2800012500 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 800012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028934144).

800012500 is an abundant number, since it is smaller than the sum of its proper divisors (1257855788).

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

800012500 is a wasteful number, since it uses less digits than its factorization.

800012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 800012500 is about 28284.4922174679. The cubic root of 800012500 is about 928.3226016857.

Adding to 800012500 its reverse (5210008), we get a palindrome (805222508).

It can be divided in two parts, 8000 and 12500, that multiplied together give a 8-th power (100000000 = 108).

The spelling of 800012500 in words is "eight hundred million, twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 125 140 164 175 205 223 250 287 350 410 446 500 574 625 700 820 875 892 1025 1115 1148 1250 1435 1561 1750 2050 2230 2500 2870 3122 3125 3500 4100 4375 4460 5125 5575 5740 6244 6250 7175 7805 8750 9143 10250 11150 12500 14350 15610 17500 18286 20500 21875 22300 25625 27875 28700 31220 35875 36572 39025 43750 45715 51250 55750 64001 71750 78050 87500 91430 102500 111500 128002 128125 139375 143500 156100 179375 182860 195125 228575 256004 256250 278750 320005 358750 390250 457150 512500 557500 640010 696875 717500 780500 896875 914300 975625 1142875 1280020 1393750 1600025 1793750 1951250 2285750 2787500 3200050 3587500 3902500 4571500 4878125 5714375 6400100 8000125 9756250 11428750 16000250 19512500 22857500 28571875 32000500 40000625 57143750 80001250 114287500 160002500 200003125 400006250 800012500