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561474784 = 25132473
BaseRepresentation
bin100001011101110…
…110110011100000
31110010111212121101
4201131312303200
52122214143114
6131414204144
716625312503
oct4135666340
91403455541
10561474784
11268a35352
12138053654
138c42a400
14547d913a
153445cd74
hex21776ce0

561474784 has 72 divisors (see below), whose sum is σ = 1222996320. Its totient is φ = 253628544.

The previous prime is 561474773. The next prime is 561474799. The reversal of 561474784 is 487474165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

561474784 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 11 ways as a sum of consecutive naturals, for example, 11946249 + ... + 11946295.

It is an arithmetic number, because the mean of its divisors is an integer number (16986060).

Almost surely, 2561474784 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 561474784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611498160).

561474784 is an abundant number, since it is smaller than the sum of its proper divisors (661521536).

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

561474784 is an frugal number, since it uses more digits than its factorization.

561474784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 62 counting only the distinct ones).

The product of its digits is 752640, while the sum is 46.

The square root of 561474784 is about 23695.4591430510. The cubic root of 561474784 is about 824.9799978009.

The spelling of 561474784 in words is "five hundred sixty-one million, four hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 169 188 208 338 376 416 611 676 752 1222 1352 1504 2209 2444 2704 4418 4888 5408 7943 8836 9776 15886 17672 19552 28717 31772 35344 57434 63544 70688 103823 114868 127088 207646 229736 254176 373321 415292 459472 746642 830584 918944 1349699 1493284 1661168 2699398 2986568 3322336 5398796 5973136 10797592 11946272 17546087 21595184 35092174 43190368 70184348 140368696 280737392 561474784