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561141372 = 22311217127179
BaseRepresentation
bin100001011100100…
…101011001111100
31110002212221020210
4201130211121330
52122123010442
6131403112420
716622423451
oct4134453174
91402787223
10561141372
11268827900
12137b12710
138c34171c
145474d828
15343e419c
hex2172567c

561141372 has 144 divisors (see below), whose sum is σ = 1544417280. Its totient is φ = 157893120.

The previous prime is 561141331. The next prime is 561141377. The reversal of 561141372 is 273141165.

561141372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561141377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3134779 + ... + 3134957.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2561141372 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 561141372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

561141372 is an abundant number, since it is smaller than the sum of its proper divisors (983275908).

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

561141372 is a wasteful number, since it uses less digits than its factorization.

561141372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 561141372 is about 23688.4227419218. The cubic root of 561141372 is about 824.8166703750.

The spelling of 561141372 in words is "five hundred sixty-one million, one hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 127 132 179 187 204 242 254 358 363 374 381 484 508 537 561 716 726 748 762 1074 1122 1397 1452 1524 1969 2057 2148 2159 2244 2794 3043 3938 4114 4191 4318 5588 5907 6086 6171 6477 7876 8228 8382 8636 9129 11814 12172 12342 12954 15367 16764 18258 21659 22733 23628 23749 24684 25908 30734 33473 36516 43318 45466 46101 47498 61468 64977 66946 68199 71247 86636 90932 92202 94996 100419 129954 133892 136398 142494 184404 200838 250063 259908 261239 272796 284988 368203 386461 401676 500126 522478 736406 750189 772922 783717 1000252 1044956 1104609 1159383 1472812 1500378 1545844 1567434 2209218 2318766 2750693 3000756 3134868 4251071 4418436 4637532 5501386 8252079 8502142 11002772 12753213 16504158 17004284 25506426 33008316 46761781 51012852 93523562 140285343 187047124 280570686 561141372