Search a number
-
+
561866624 = 2711419733
BaseRepresentation
bin100001011111010…
…110011110000000
31110011020210002222
4201133112132000
52122314212444
6131430430212
716631534054
oct4137263600
91404223088
10561866624
11269182790
12138202368
138c536877
145489bc64
15344d8eee
hex217d6780

561866624 has 64 divisors (see below), whose sum is σ = 1251013680. Its totient is φ = 249139200.

The previous prime is 561866597. The next prime is 561866653. The reversal of 561866624 is 426668165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52862 + ... + 62594.

Almost surely, 2561866624 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 561866624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625506840).

561866624 is an abundant number, since it is smaller than the sum of its proper divisors (689147056).

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

561866624 is a wasteful number, since it uses less digits than its factorization.

561866624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9787 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 561866624 is about 23703.7259518414. The cubic root of 561866624 is about 825.1718645313.

The spelling of 561866624 in words is "five hundred sixty-one million, eight hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1408 1804 2624 3608 5248 7216 9733 14432 19466 28864 38932 57728 77864 107063 155728 214126 311456 399053 428252 622912 798106 856504 1245824 1596212 1713008 3192424 3426016 4389583 6384848 6852032 8779166 12769696 13704064 17558332 25539392 35116664 51078784 70233328 140466656 280933312 561866624