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561195252 = 223228975381
BaseRepresentation
bin100001011100110…
…010100011110100
31110002222200011100
4201130302203310
52122131222002
6131404210100
716623036522
oct4134624364
91402880140
10561195252
11268864332
12137b39930
138c3600c7
1454765312
153440511c
hex217328f4

561195252 has 36 divisors (see below), whose sum is σ = 1419330276. Its totient is φ = 186965760.

The previous prime is 561195241. The next prime is 561195259. The reversal of 561195252 is 252591165.

561195252 is a `hidden beast` number, since 561 + 1 + 95 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 443776356 = 10836^2 + 21066^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5611952522 = 629880221734687008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561195259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101602 + ... + 106982.

It is an arithmetic number, because the mean of its divisors is an integer number (39425841).

Almost surely, 2561195252 is an apocalyptic number.

It is an amenable number.

561195252 is an abundant number, since it is smaller than the sum of its proper divisors (858135024).

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

561195252 is a wasteful number, since it uses less digits than its factorization.

561195252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8283 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 561195252 is about 23689.5599790287. The cubic root of 561195252 is about 824.8430687731.

The spelling of 561195252 in words is "five hundred sixty-one million, one hundred ninety-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2897 5381 5794 8691 10762 11588 16143 17382 21524 26073 32286 34764 48429 52146 64572 96858 104292 193716 15588757 31177514 46766271 62355028 93532542 140298813 187065084 280597626 561195252