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563276952 = 233272434779
BaseRepresentation
bin100001100100101…
…110110010011000
31110020220102201100
4201210232302120
52123144330302
6131520551400
716646526600
oct4144566230
91406812640
10563276952
11269a56347
12138782560
138c90b794
1454b47c00
15346b6d1c
hex2192ec98

563276952 has 288 divisors, whose sum is σ = 1877990400. Its totient is φ = 151901568.

The previous prime is 563276941. The next prime is 563276977. The reversal of 563276952 is 259672365.

563276952 is a `hidden beast` number, since 5 + 632 + 7 + 6 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 563276898 and 563276907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7130049 + ... + 7130127.

It is an arithmetic number, because the mean of its divisors is an integer number (6520800).

Almost surely, 2563276952 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 563276952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938995200).

563276952 is an abundant number, since it is smaller than the sum of its proper divisors (1314713448).

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

563276952 is a wasteful number, since it uses less digits than its factorization.

563276952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 563276952 is about 23733.4563854488. The cubic root of 563276952 is about 825.8617024038.

The spelling of 563276952 in words is "five hundred sixty-three million, two hundred seventy-six thousand, nine hundred fifty-two".