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561477672 = 233272612609
BaseRepresentation
bin100001011101110…
…111100000101000
31110010112000120100
4201131313200220
52122214241142
6131414225400
716625324100
oct4135674050
91403460510
10561477672
11268a37538
12138055260
138c42b812
14547da200
153445db4c
hex21777828

561477672 has 144 divisors (see below), whose sum is σ = 1798629300. Its totient is φ = 157731840.

The previous prime is 561477589. The next prime is 561477731. The reversal of 561477672 is 276774165.

It can be written as a sum of positive squares in 2 ways, for example, as 508682916 + 52794756 = 22554^2 + 7266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213904 + ... + 216512.

Almost surely, 2561477672 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 561477672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899314650).

561477672 is an abundant number, since it is smaller than the sum of its proper divisors (1237151628).

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

561477672 is a wasteful number, since it uses less digits than its factorization.

561477672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2682 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 561477672 is about 23695.5200829186. The cubic root of 561477672 is about 824.9814122534.

The spelling of 561477672 in words is "five hundred sixty-one million, four hundred seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 147 168 183 196 244 252 294 366 392 427 441 488 504 549 588 732 854 882 1098 1176 1281 1464 1708 1764 2196 2562 2609 2989 3416 3528 3843 4392 5124 5218 5978 7686 7827 8967 10248 10436 11956 15372 15654 17934 18263 20872 23481 23912 26901 30744 31308 35868 36526 46962 53802 54789 62616 71736 73052 93924 107604 109578 127841 146104 159149 164367 187848 215208 219156 255682 318298 328734 383523 438312 477447 511364 636596 657468 767046 954894 1022728 1114043 1150569 1273192 1314936 1432341 1534092 1909788 2228086 2301138 2864682 3068184 3342129 3819576 4456172 4602276 5729364 6684258 7798301 8912344 9204552 10026387 11458728 13368516 15596602 20052774 23394903 26737032 31193204 40105548 46789806 62386408 70184709 80211096 93579612 140369418 187159224 280738836 561477672