Search a number
-
+
197865444 = 223714915809
BaseRepresentation
bin10111100101100…
…10111111100100
3111210022121100210
423302302333210
5401123143234
631344535420
74621554120
oct1362627744
9453277323
10197865444
11a1765267
1256321570
1331cba85a
141c3c8580
1512586be9
hexbcb2fe4

197865444 has 48 divisors (see below), whose sum is σ = 531216000. Its totient is φ = 56150016.

The previous prime is 197865439. The next prime is 197865457. The reversal of 197865444 is 444568791.

It is a junction number, because it is equal to n+sod(n) for n = 197865393 and 197865402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612 + ... + 20420.

It is an arithmetic number, because the mean of its divisors is an integer number (11067000).

Almost surely, 2197865444 is an apocalyptic number.

197865444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197865444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

197865444 is an abundant number, since it is smaller than the sum of its proper divisors (333350556).

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

197865444 is a wasteful number, since it uses less digits than its factorization.

197865444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 15970 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 197865444 is about 14066.4652276256. The cubic root of 197865444 is about 582.7156086905.

The spelling of 197865444 in words is "one hundred ninety-seven million, eight hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 15809 31618 47427 63236 94854 110663 189708 221326 331989 442652 663978 1327956 2355541 4711082 7066623 9422164 14133246 16488787 28266492 32977574 49466361 65955148 98932722 197865444