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563132928 = 293523701
BaseRepresentation
bin100001100100001…
…011101000000000
31110020122010011010
4201210023220000
52123130223203
6131513520520
716645356651
oct4144135000
91406563133
10563132928
11269968116
12138713140
138c88b067
1454b0b528
1534689303
hex2190ba00

563132928 has 80 divisors (see below), whose sum is σ = 1505234016. Its totient is φ = 187084800.

The previous prime is 563132893. The next prime is 563132929. The reversal of 563132928 is 829231365.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (563132929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802978 + ... + 803678.

Almost surely, 2563132928 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 563132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752617008).

563132928 is an abundant number, since it is smaller than the sum of its proper divisors (942101088).

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

563132928 is an equidigital number, since it uses as much as digits as its factorization.

563132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1229 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 563132928 is about 23730.4219937194. The cubic root of 563132928 is about 825.7913083497.

The spelling of 563132928 in words is "five hundred sixty-three million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 523 701 768 1046 1402 1536 1569 2092 2103 2804 3138 4184 4206 5608 6276 8368 8412 11216 12552 16736 16824 22432 25104 33472 33648 44864 50208 66944 67296 89728 100416 133888 134592 179456 200832 267776 269184 358912 366623 401664 538368 733246 803328 1076736 1099869 1466492 2199738 2932984 4399476 5865968 8798952 11731936 17597904 23463872 35195808 46927744 70391616 93855488 140783232 187710976 281566464 563132928