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563231232 = 2937503
BaseRepresentation
bin100001100100100…
…011101000000000
31110020211010000000
4201210203220000
52123141344412
6131520000000
716646246364
oct4144435000
91406733000
10563231232
11269a24a63
12138760000
138c8c3a25
1454b352a4
15346a84dc
hex21923a00

563231232 has 160 divisors (see below), whose sum is σ = 1691141760. Its totient is φ = 187370496.

The previous prime is 563231213. The next prime is 563231237. The reversal of 563231232 is 232132365.

563231232 is a `hidden beast` number, since 5 + 632 + 3 + 1 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 563231196 and 563231205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563231237) 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, 1119493 + ... + 1119995.

It is an arithmetic number, because the mean of its divisors is an integer number (10569636).

Almost surely, 2563231232 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 563231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845570880).

563231232 is an abundant number, since it is smaller than the sum of its proper divisors (1127910528).

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

563231232 is an frugal number, since it uses more digits than its factorization.

563231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 508 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 563231232 is about 23732.4931686496. The cubic root of 563231232 is about 825.8393573161.

Adding to 563231232 its reverse (232132365), we get a palindrome (795363597).

It can be divided in two parts, 5632 and 31232, that added together give a square (36864 = 1922).

The spelling of 563231232 in words is "five hundred sixty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 503 512 576 648 729 768 864 972 1006 1152 1296 1458 1509 1536 1728 1944 2012 2187 2304 2592 2916 3018 3456 3888 4024 4374 4527 4608 5184 5832 6036 6912 7776 8048 8748 9054 10368 11664 12072 13581 13824 15552 16096 17496 18108 20736 23328 24144 27162 31104 32192 34992 36216 40743 41472 46656 48288 54324 62208 64384 69984 72432 81486 93312 96576 108648 122229 124416 128768 139968 144864 162972 186624 193152 217296 244458 257536 279936 289728 325944 366687 373248 386304 434592 488916 559872 579456 651888 733374 772608 869184 977832 1100061 1119744 1158912 1303776 1466748 1738368 1955664 2200122 2317824 2607552 2933496 3476736 3911328 4400244 5215104 5866992 6953472 7822656 8800488 10430208 11733984 15645312 17600976 20860416 23467968 31290624 35201952 46935936 62581248 70403904 93871872 140807808 187743744 281615616 563231232