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561547264 = 211171272
BaseRepresentation
bin100001011110001…
…000100000000000
31110010122120000211
4201132020200000
52122224003024
6131415523504
716626034015
oct4136104000
91403576024
10561547264
11268a84853
12138089594
138c4543b5
145481770c
1534474594
hex21788800

561547264 has 72 divisors (see below), whose sum is σ = 1198303470. Its totient is φ = 262176768.

The previous prime is 561547253. The next prime is 561547279. The reversal of 561547264 is 462745165.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 412902400 + 148644864 = 20320^2 + 12192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4421569 + ... + 4421695.

Almost surely, 2561547264 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 561547264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599151735).

561547264 is an abundant number, since it is smaller than the sum of its proper divisors (636756206).

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

561547264 is an equidigital number, since it uses as much as digits as its factorization.

561547264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 146 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 561547264 is about 23696.9885006513. The cubic root of 561547264 is about 825.0154947809.

The spelling of 561547264 in words is "five hundred sixty-one million, five hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 508 512 544 1016 1024 1088 2032 2048 2159 2176 4064 4318 4352 8128 8636 8704 16129 16256 17272 17408 32258 32512 34544 34816 64516 65024 69088 129032 130048 138176 258064 260096 274193 276352 516128 548386 552704 1032256 1096772 1105408 2064512 2193544 2210816 4129024 4387088 4421632 8258048 8774176 16516096 17548352 33032192 35096704 70193408 140386816 280773632 561547264