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803949840 = 24335467797
BaseRepresentation
bin101111111010110…
…100110100010000
32002000202212212000
4233322310310100
53121302343330
6211435234000
725631314041
oct5772646420
92060685760
10803949840
11382899461
121a52a8900
13ca736985
1478ab68c8
154a8a7560
hex2feb4d10

803949840 has 160 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 213659136.

The previous prime is 803949823. The next prime is 803949841. The reversal of 803949840 is 48949308.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (803949841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008322 + ... + 1009118.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2803949840 is an apocalyptic number.

803949840 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 803949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

803949840 is an abundant number, since it is smaller than the sum of its proper divisors (1974622320).

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

803949840 is a wasteful number, since it uses less digits than its factorization.

803949840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1274 counting only the distinct ones).

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

The square root of 803949840 is about 28354.0092403173. The cubic root of 803949840 is about 929.8430536402.

The spelling of 803949840 in words is "eight hundred three million, nine hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 467 540 720 797 934 1080 1401 1594 1868 2160 2335 2391 2802 3188 3736 3985 4203 4670 4782 5604 6376 7005 7173 7472 7970 8406 9340 9564 11208 11955 12609 12752 14010 14346 15940 16812 18680 19128 21015 21519 22416 23910 25218 28020 28692 31880 33624 35865 37360 38256 42030 43038 47820 50436 56040 57384 63045 63760 67248 71730 84060 86076 95640 100872 107595 112080 114768 126090 143460 168120 172152 191280 201744 215190 252180 286920 336240 344304 372199 430380 504360 573840 744398 860760 1008720 1116597 1488796 1721520 1860995 2233194 2977592 3349791 3721990 4466388 5582985 5955184 6699582 7443980 8932776 10049373 11165970 13399164 14887960 16748955 17865552 20098746 22331940 26798328 29775920 33497910 40197492 44663880 50246865 53596656 66995820 80394984 89327760 100493730 133991640 160789968 200987460 267983280 401974920 803949840