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561133552 = 247171911543
BaseRepresentation
bin100001011100100…
…011011111110000
31110002212112112011
4201130203133300
52122122233202
6131403012304
716622361610
oct4134433760
91402775464
10561133552
11268821a41
12137b0a094
138c33acb5
145474aa40
15343e1bd7
hex217237f0

561133552 has 80 divisors (see below), whose sum is σ = 1323343872. Its totient is φ = 225008640.

The previous prime is 561133537. The next prime is 561133561. The reversal of 561133552 is 255331165.

561133552 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362893 + ... + 364435.

Almost surely, 2561133552 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 561133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661671936).

561133552 is an abundant number, since it is smaller than the sum of its proper divisors (762210320).

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

561133552 is a wasteful number, since it uses less digits than its factorization.

561133552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1760 counting only the distinct ones).

The product of its digits is 13500, while the sum is 31.

The square root of 561133552 is about 23688.2576818136. The cubic root of 561133552 is about 824.8128388413.

The spelling of 561133552 in words is "five hundred sixty-one million, one hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 191 238 272 382 476 764 952 1337 1528 1543 1904 2674 3056 3086 3247 5348 6172 6494 10696 10801 12344 12988 21392 21602 22729 24688 25976 26231 43204 45458 51952 52462 86408 90916 104924 172816 181832 183617 209848 294713 363664 367234 419696 589426 734468 1178852 1468936 2062991 2357704 2937872 4125982 4715408 5010121 8251964 10020242 16503928 20040484 33007856 35070847 40080968 70141694 80161936 140283388 280566776 561133552