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196705248 = 25317911447
BaseRepresentation
bin10111011100101…
…11101111100000
3111201010122212120
423232113233200
5400324031443
631304024240
74605652455
oct1356275740
9451118776
10196705248
11a1042623
1255a62080
13319a274c
141c1a582c
1512408083
hexbb97be0

196705248 has 48 divisors (see below), whose sum is σ = 519281280. Its totient is φ = 65196416.

The previous prime is 196705247. The next prime is 196705279. The reversal of 196705248 is 842507691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1967052483 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196705247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11461 + ... + 22907.

It is an arithmetic number, because the mean of its divisors is an integer number (10818360).

Almost surely, 2196705248 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 196705248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259640640).

196705248 is an abundant number, since it is smaller than the sum of its proper divisors (322576032).

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

196705248 is a wasteful number, since it uses less digits than its factorization.

196705248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11639 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 196705248 is about 14025.1648118658. The cubic root of 196705248 is about 581.5744459432.

The spelling of 196705248 in words is "one hundred ninety-six million, seven hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 11447 17184 22894 34341 45788 68682 91576 137364 183152 274728 366304 549456 1098912 2049013 4098026 6147039 8196052 12294078 16392104 24588156 32784208 49176312 65568416 98352624 196705248