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561494592 = 2634891217
BaseRepresentation
bin100001011101111…
…011101001000000
31110010112212210000
4201131323221000
52122220311332
6131414440000
716625424321
oct4135735100
91403485700
10561494592
11268a4921a
12138063000
138c436429
1454802448
1534463b7c
hex2177ba40

561494592 has 140 divisors (see below), whose sum is σ = 1684530540. Its totient is φ = 184909824.

The previous prime is 561494587. The next prime is 561494597. The reversal of 561494592 is 295494165.

561494592 is a `hidden beast` number, since 56 + 1 + 4 + 9 + 4 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (561494587) and next prime (561494597).

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 415181376 = 12096^2 + 20376^2 .

It is not an unprimeable number, because it can be changed into a prime (561494597) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 460768 + ... + 461984.

It is an arithmetic number, because the mean of its divisors is an integer number (12032361).

Almost surely, 2561494592 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 561494592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842265270).

561494592 is an abundant number, since it is smaller than the sum of its proper divisors (1123035948).

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

561494592 is a wasteful number, since it uses less digits than its factorization.

561494592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1311 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 561494592 is about 23695.8771097421. The cubic root of 561494592 is about 824.9896990449.

The spelling of 561494592 in words is "five hundred sixty-one million, four hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 144 162 178 192 216 267 288 324 356 432 534 576 648 712 801 864 1068 1217 1296 1424 1602 1728 2136 2403 2434 2592 2848 3204 3651 4272 4806 4868 5184 5696 6408 7209 7302 8544 9612 9736 10953 12816 14418 14604 17088 19224 19472 21906 25632 28836 29208 32859 38448 38944 43812 51264 57672 58416 65718 76896 77888 87624 98577 108313 115344 116832 131436 153792 175248 197154 216626 230688 233664 262872 324939 350496 394308 433252 461376 525744 649878 700992 788616 866504 974817 1051488 1299756 1577232 1733008 1949634 2102976 2599512 2924451 3154464 3466016 3899268 5199024 5848902 6308928 6932032 7798536 8773353 10398048 11697804 15597072 17546706 20796096 23395608 31194144 35093412 46791216 62388288 70186824 93582432 140373648 187164864 280747296 561494592