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561116832 = 25323475407
BaseRepresentation
bin100001011100011…
…111011010100000
31110002211200120220
4201130133122200
52122121214312
6131402403040
716622262063
oct4134373240
91402750526
10561116832
11268810421
12137b00480
138c3334c3
14547448da
15343dbc8c
hex2171f6a0

561116832 has 96 divisors (see below), whose sum is σ = 1569964032. Its totient is φ = 175067904.

The previous prime is 561116789. The next prime is 561116867. The reversal of 561116832 is 238611165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 561116793 and 561116802.

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, 101073 + ... + 106479.

It is an arithmetic number, because the mean of its divisors is an integer number (16353792).

Almost surely, 2561116832 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 561116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784982016).

561116832 is an abundant number, since it is smaller than the sum of its proper divisors (1008847200).

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

561116832 is a wasteful number, since it uses less digits than its factorization.

561116832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5482 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 561116832 is about 23687.9047617133. The cubic root of 561116832 is about 824.8046464911.

Adding to 561116832 its reverse (238611165), we get a palindrome (799727997).

The spelling of 561116832 in words is "five hundred sixty-one million, one hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2208 2256 3243 4324 4512 5407 6486 8648 10814 12972 16221 17296 21628 25944 32442 34592 43256 51888 64884 86512 103776 124361 129768 173024 248722 254129 259536 373083 497444 508258 519072 746166 762387 994888 1016516 1492332 1524774 1989776 2033032 2984664 3049548 3979552 4066064 5844967 5969328 6099096 8132128 11689934 11938656 12198192 17534901 23379868 24396384 35069802 46759736 70139604 93519472 140279208 187038944 280558416 561116832