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563831040 = 2835359409
BaseRepresentation
bin100001100110110…
…110000100000000
31110021221120210010
4201212312010000
52123320043130
6131540504520
716654325163
oct4146660400
91407846703
10563831040
1126a2a4673
121389ab140
138ca73a46
1454c4dada
15347760b0
hex219b6100

563831040 has 144 divisors (see below), whose sum is σ = 1810166400. Its totient is φ = 149569536.

The previous prime is 563831033. The next prime is 563831041. The reversal of 563831040 is 40138365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 563830989 and 563831007.

It is not an unprimeable number, because it can be changed into a prime (563831041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378356 + ... + 1378764.

It is an arithmetic number, because the mean of its divisors is an integer number (12570600).

Almost surely, 2563831040 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 563831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905083200).

563831040 is an abundant number, since it is smaller than the sum of its proper divisors (1246335360).

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

563831040 is a wasteful number, since it uses less digits than its factorization.

563831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 563831040 is about 23745.1266579060. The cubic root of 563831040 is about 826.1324100278.

The spelling of 563831040 in words is "five hundred sixty-three million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 359 384 409 480 640 718 768 818 960 1077 1227 1280 1436 1636 1795 1920 2045 2154 2454 2872 3272 3590 3840 4090 4308 4908 5385 5744 6135 6544 7180 8180 8616 9816 10770 11488 12270 13088 14360 16360 17232 19632 21540 22976 24540 26176 28720 32720 34464 39264 43080 45952 49080 52352 57440 65440 68928 78528 86160 91904 98160 104704 114880 130880 137856 146831 157056 172320 196320 229760 261760 275712 293662 314112 344640 392640 440493 459520 523520 587324 689280 734155 785280 880986 1174648 1378560 1468310 1570560 1761972 2202465 2349296 2936620 3523944 4404930 4698592 5873240 7047888 8809860 9397184 11746480 14095776 17619720 18794368 23492960 28191552 35239440 37588736 46985920 56383104 70478880 93971840 112766208 140957760 187943680 281915520 563831040