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809399520 = 25335187361
BaseRepresentation
bin110000001111100…
…111010011100000
32002102000202102000
4300033213103200
53124201241040
6212152124000
726025532236
oct6017472340
92072022360
10809399520
11385980926
121a7096600
13cb8c4337
14796d4956
154b0d2130
hex303e74e0

809399520 has 96 divisors (see below), whose sum is σ = 2832913440. Its totient is φ = 215838720.

The previous prime is 809399501. The next prime is 809399543. The reversal of 809399520 is 25993908.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 89361 + ... + 98000.

It is an arithmetic number, because the mean of its divisors is an integer number (29509515).

Almost surely, 2809399520 is an apocalyptic number.

809399520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809399520 is an abundant number, since it is smaller than the sum of its proper divisors (2023513920).

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

809399520 is a wasteful number, since it uses less digits than its factorization.

809399520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187385 (or 187371 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 809399520 is about 28449.9476273683. The cubic root of 809399520 is about 931.9393453377.

The spelling of 809399520 in words is "eight hundred nine million, three hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 187361 374722 562083 749444 936805 1124166 1498888 1686249 1873610 2248332 2810415 2997776 3372498 3747220 4496664 5058747 5620830 5995552 6744996 7494440 8431245 8993328 10117494 11241660 13489992 14988880 16862490 17986656 20234988 22483320 25293735 26979984 29977760 33724980 40469976 44966640 50587470 53959968 67449960 80939952 89933280 101174940 134899920 161879904 202349880 269799840 404699760 809399520