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561691764 = 2232175691613
BaseRepresentation
bin100001011110101…
…011110001110100
31110010220220020200
4201132223301310
52122243114024
6131423000500
716630205214
oct4136536164
91403826220
10561691764
11269073377
12138139130
138c4a50ba
1454854244
15344a22c9
hex217abc74

561691764 has 72 divisors (see below), whose sum is σ = 1506927240. Its totient is φ = 175798272.

The previous prime is 561691733. The next prime is 561691769. The reversal of 561691764 is 467196165.

It can be written as a sum of positive squares in 4 ways, for example, as 93315600 + 468376164 = 9660^2 + 21642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561691769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347422 + ... + 349034.

It is an arithmetic number, because the mean of its divisors is an integer number (20929545).

Almost surely, 2561691764 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 561691764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753463620).

561691764 is an abundant number, since it is smaller than the sum of its proper divisors (945235476).

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

561691764 is a wasteful number, since it uses less digits than its factorization.

561691764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2204 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 561691764 is about 23700.0372151607. The cubic root of 561691764 is about 825.0862543426.

It can be divided in two parts, 561691 and 764, that multiplied together give a palindrome (429131924).

The spelling of 561691764 in words is "five hundred sixty-one million, six hundred ninety-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 569 612 1138 1613 1707 2276 3226 3414 4839 5121 6452 6828 9673 9678 10242 14517 19346 19356 20484 27421 29019 29034 38692 54842 58038 58068 82263 87057 109684 116076 164526 174114 246789 329052 348228 493578 917797 987156 1835594 2753391 3671188 5506782 8260173 11013564 15602549 16520346 31205098 33040692 46807647 62410196 93615294 140422941 187230588 280845882 561691764