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561158144 = 211412163
BaseRepresentation
bin100001011100101…
…001100000000000
31110002220210020222
4201130221200000
52122124030034
6131403322212
716622523401
oct4134514000
91402823228
10561158144
11268839468
12137b20368
138c349251
14547559a8
15343e912e
hex21729800

561158144 has 72 divisors (see below), whose sum is σ = 1157132340. Its totient is φ = 272056320.

The previous prime is 561158131. The next prime is 561158167. The reversal of 561158144 is 441851165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3442607 + ... + 3442769.

Almost surely, 2561158144 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 561158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578566170).

561158144 is an abundant number, since it is smaller than the sum of its proper divisors (595974196).

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

561158144 is an equidigital number, since it uses as much as digits as its factorization.

561158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 206 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 561158144 is about 23688.7767518713. The cubic root of 561158144 is about 824.8248879640.

The spelling of 561158144 in words is "five hundred sixty-one million, one hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 163 164 256 326 328 512 652 656 1024 1304 1312 1681 2048 2608 2624 3362 5216 5248 6683 6724 10432 10496 13366 13448 20864 20992 26732 26896 41728 41984 53464 53792 83456 83968 106928 107584 166912 213856 215168 274003 333824 427712 430336 548006 855424 860672 1096012 1710848 1721344 2192024 3421696 3442688 4384048 6843392 8768096 13686784 17536192 35072384 70144768 140289536 280579072 561158144