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561010032 = 2432111492377
BaseRepresentation
bin100001011100000…
…101010101110000
31110002122021002100
4201130011111300
52122104310112
6131400220400
716621335522
oct4134052560
91402567070
10561010032
11268748160
12137a6a700
138c2c69cb
1454717a12
15343ba2dc
hex21705570

561010032 has 120 divisors (see below), whose sum is σ = 1725001200. Its totient is φ = 168791040.

The previous prime is 561010027. The next prime is 561010049. The reversal of 561010032 is 230010165.

561010032 is a `hidden beast` number, since 561 + 0 + 100 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 561009987 and 561010014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234828 + ... + 237204.

It is an arithmetic number, because the mean of its divisors is an integer number (14375010).

Almost surely, 2561010032 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 561010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862500600).

561010032 is an abundant number, since it is smaller than the sum of its proper divisors (1163991168).

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

561010032 is a wasteful number, since it uses less digits than its factorization.

561010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 561010032 is about 23685.6503393933. The cubic root of 561010032 is about 824.7523135243.

Adding to 561010032 its reverse (230010165), we get a palindrome (791020197).

The spelling of 561010032 in words is "five hundred sixty-one million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 149 176 198 264 298 396 447 528 596 792 894 1192 1341 1584 1639 1788 2377 2384 2682 3278 3576 4754 4917 5364 6556 7131 7152 9508 9834 10728 13112 14262 14751 19016 19668 21393 21456 26147 26224 28524 29502 38032 39336 42786 52294 57048 59004 78441 78672 85572 104588 114096 118008 156882 171144 209176 235323 236016 313764 342288 354173 418352 470646 627528 708346 941292 1062519 1255056 1416692 1882584 2125038 2833384 3187557 3765168 3895903 4250076 5666768 6375114 7791806 8500152 11687709 12750228 15583612 17000304 23375418 25500456 31167224 35063127 46750836 51000912 62334448 70126254 93501672 140252508 187003344 280505016 561010032