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561505460 = 2251011372029
BaseRepresentation
bin100001011101111…
…110010010110100
31110010120102200112
4201131332102310
52122221133320
6131415002152
716625501105
oct4135762264
91403512615
10561505460
11268a563aa
12138069358
138c43b369
14548063ac
1534466ec5
hex2177e4b4

561505460 has 48 divisors (see below), whose sum is σ = 1200119760. Its totient is φ = 220646400.

The previous prime is 561505447. The next prime is 561505471. The reversal of 561505460 is 64505165.

It can be written as a sum of positive squares in 8 ways, for example, as 186540964 + 374964496 = 13658^2 + 19364^2 .

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, 275726 + ... + 277754.

It is an arithmetic number, because the mean of its divisors is an integer number (25002495).

Almost surely, 2561505460 is an apocalyptic number.

It is an amenable number.

561505460 is an abundant number, since it is smaller than the sum of its proper divisors (638614300).

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

561505460 is a wasteful number, since it uses less digits than its factorization.

561505460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 561505460 is about 23696.1064312262. The cubic root of 561505460 is about 824.9950217024.

The spelling of 561505460 in words is "five hundred sixty-one million, five hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 101 137 202 274 404 505 548 685 1010 1370 2020 2029 2740 4058 8116 10145 13837 20290 27674 40580 55348 69185 138370 204929 276740 277973 409858 555946 819716 1024645 1111892 1389865 2049290 2779730 4098580 5559460 28075273 56150546 112301092 140376365 280752730 561505460