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561124608 = 28311127523
BaseRepresentation
bin100001011100100…
…001010100000000
31110002212002020220
4201130201110000
52122121441413
6131402503040
716622323542
oct4134412400
91402762226
10561124608
11268816250
12137b04a80
138c336bc5
1454747692
15343de223
hex21721500

561124608 has 144 divisors (see below), whose sum is σ = 1645142016. Its totient is φ = 168376320.

The previous prime is 561124591. The next prime is 561124637. The reversal of 561124608 is 806421165.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072635 + ... + 1073157.

Almost surely, 2561124608 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 561124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822571008).

561124608 is an abundant number, since it is smaller than the sum of its proper divisors (1084017408).

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

561124608 is a wasteful number, since it uses less digits than its factorization.

561124608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 561124608 is about 23688.0688955432. The cubic root of 561124608 is about 824.8084565422.

The spelling of 561124608 in words is "five hundred sixty-one million, one hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 352 381 384 508 523 528 704 762 768 1016 1046 1056 1397 1408 1524 1569 2032 2092 2112 2794 2816 3048 3138 4064 4184 4191 4224 5588 5753 6096 6276 8128 8368 8382 8448 11176 11506 12192 12552 16256 16736 16764 17259 22352 23012 24384 25104 32512 33472 33528 34518 44704 46024 48768 50208 66421 66944 67056 69036 89408 92048 97536 100416 132842 133888 134112 138072 178816 184096 199263 200832 265684 268224 276144 357632 368192 398526 401664 531368 536448 552288 730631 736384 797052 1062736 1072896 1104576 1461262 1472768 1594104 2125472 2191893 2209152 2922524 3188208 4250944 4383786 4418304 5845048 6376416 8501888 8767572 11690096 12752832 17003776 17535144 23380192 25505664 35070288 46760384 51011328 70140576 93520768 140281152 187041536 280562304 561124608