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804983040 = 2832569877
BaseRepresentation
bin101111111110110…
…001000100000000
32002002201101010200
4233332301010000
53122033424130
6211513325200
725643146221
oct5776610400
92062641120
10804983040
11383434744
121a5706800
13caa09034
1478ca5248
154aa0d760
hex2ffb1100

804983040 has 108 divisors (see below), whose sum is σ = 2785197324. Its totient is φ = 214659072.

The previous prime is 804983009. The next prime is 804983071. The reversal of 804983040 is 40389408.

It is an interprime number because it is at equal distance from previous prime (804983009) and next prime (804983071).

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 689377536 = 10752^2 + 26256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 804982986 and 804983004.

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, 23419 + ... + 46458.

Almost surely, 2804983040 is an apocalyptic number.

804983040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804983040 is an abundant number, since it is smaller than the sum of its proper divisors (1980214284).

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

804983040 is a wasteful number, since it uses less digits than its factorization.

804983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69904 (or 69887 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 804983040 is about 28372.2230359202. The cubic root of 804983040 is about 930.2412138791.

It can be divided in two parts, 80498 and 3040, that added together give a palindrome (83538).

The spelling of 804983040 in words is "eight hundred four million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 69877 139754 209631 279508 349385 419262 559016 628893 698770 838524 1048155 1118032 1257786 1397540 1677048 2096310 2236064 2515572 2795080 3144465 3354096 4192620 4472128 5031144 5590160 6288930 6708192 8385240 8944256 10062288 11180320 12577860 13416384 16770480 17888512 20124576 22360640 25155720 26832768 33540960 40249152 44721280 50311440 53665536 67081920 80498304 89442560 100622880 134163840 160996608 201245760 268327680 402491520 804983040