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561668832 = 25322384793
BaseRepresentation
bin100001011110100…
…110001011100000
31110010212201210100
4201132212023200
52122241400312
6131422302400
716630051314
oct4136461340
91403781710
10561668832
1126905811a
12138127a00
138c49782a
1454849b44
153449a5dc
hex217a62e0

561668832 has 72 divisors (see below), whose sum is σ = 1666710864. Its totient is φ = 179080704.

The previous prime is 561668827. The next prime is 561668869. The reversal of 561668832 is 238866165.

561668832 is a `hidden beast` number, since 561 + 6 + 6 + 8 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 35773 + ... + 49020.

It is an arithmetic number, because the mean of its divisors is an integer number (23148762).

Almost surely, 2561668832 is an apocalyptic number.

It is an amenable number.

561668832 is an abundant number, since it is smaller than the sum of its proper divisors (1105042032).

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

561668832 is a wasteful number, since it uses less digits than its factorization.

561668832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84832 (or 84821 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 561668832 is about 23699.5534135139. The cubic root of 561668832 is about 825.0750256838.

It can be divided in two parts, 561668 and 832, that added together give a square (562500 = 7502).

The spelling of 561668832 in words is "five hundred sixty-one million, six hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 84793 169586 254379 339172 508758 678344 763137 1017516 1356688 1526274 1950239 2035032 2713376 3052548 3900478 4070064 5850717 6105096 7800956 8140128 11701434 12210192 15601912 17552151 23402868 24420384 31203824 35104302 46805736 62407648 70208604 93611472 140417208 187222944 280834416 561668832