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561322608 = 243711295237
BaseRepresentation
bin100001011101010…
…001101001110000
31110010020010212020
4201131101221300
52122144310413
6131411031440
716624110030
oct4135215160
91403203766
10561322608
11268940a90
12137b9b580
138c3a6072
14547998c0
153442cc23
hex21751a70

561322608 has 160 divisors (see below), whose sum is σ = 1870594560. Its totient is φ = 140743680.

The previous prime is 561322591. The next prime is 561322631. The reversal of 561322608 is 806223165.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 104566 + ... + 109802.

It is an arithmetic number, because the mean of its divisors is an integer number (11691216).

Almost surely, 2561322608 is an apocalyptic number.

561322608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561322608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935297280).

561322608 is an abundant number, since it is smaller than the sum of its proper divisors (1309271952).

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

561322608 is a wasteful number, since it uses less digits than its factorization.

561322608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 561322608 is about 23692.2478460783. The cubic root of 561322608 is about 824.9054598737.

The spelling of 561322608 in words is "five hundred sixty-one million, three hundred twenty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 5237 6699 7656 8932 9744 10474 13398 15312 15711 17864 20948 26796 31422 35728 36659 41896 53592 57607 62844 73318 83792 107184 109977 115214 125688 146636 151873 172821 219954 230428 251376 293272 303746 345642 403249 439908 455619 460856 586544 607492 691284 806498 879816 911238 921712 1063111 1209747 1214984 1382568 1612996 1670603 1759632 1822476 2126222 2419494 2429968 2765136 3189333 3225992 3341206 3644952 4252444 4838988 5011809 6378666 6451984 6682412 7289904 8504888 9677976 10023618 11694221 12757332 13364824 17009776 19355952 20047236 23388442 25514664 26729648 35082663 40094472 46776884 51029328 70165326 80188944 93553768 140330652 187107536 280661304 561322608