Search a number
-
+
563430972 = 2231314272531
BaseRepresentation
bin100001100101010…
…100011000111100
31110021012020222210
4201211110120330
52123214242342
6131524140420
716651040616
oct4145243074
91407166883
10563430972
1126a051035
12138837710
138c963910
1454b87db6
15346e779c
hex2195463c

563430972 has 48 divisors (see below), whose sum is σ = 1417352832. Its totient is φ = 173173440.

The previous prime is 563430947. The next prime is 563431003. The reversal of 563430972 is 279034365.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 563430972.

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 15 ways as a sum of consecutive naturals, for example, 221347 + ... + 223877.

It is an arithmetic number, because the mean of its divisors is an integer number (29528184).

Almost surely, 2563430972 is an apocalyptic number.

563430972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

563430972 is an abundant number, since it is smaller than the sum of its proper divisors (853921860).

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

563430972 is a wasteful number, since it uses less digits than its factorization.

563430972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 563430972 is about 23736.7009502163. The cubic root of 563430972 is about 825.9369688881.

The spelling of 563430972 in words is "five hundred sixty-three million, four hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1427 2531 2854 4281 5062 5708 7593 8562 10124 15186 17124 18551 30372 32903 37102 55653 65806 74204 98709 111306 131612 197418 222612 394836 3611737 7223474 10835211 14446948 21670422 43340844 46952581 93905162 140857743 187810324 281715486 563430972