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196248 = 233131737
BaseRepresentation
bin101111111010011000
3100222012110
4233322120
522234443
64112320
71445103
oct577230
9328173
10196248
11124498
12956a0
136b430
145173a
153d233
hex2fe98

196248 has 64 divisors (see below), whose sum is σ = 574560. Its totient is φ = 55296.

The previous prime is 196247. The next prime is 196271. The reversal of 196248 is 842691.

196248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4432-1.

Its product of digits (3456) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5286 + ... + 5322.

2196248 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 196248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

196248 is an abundant number, since it is smaller than the sum of its proper divisors (378312).

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

196248 is a wasteful number, since it uses less digits than its factorization.

196248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 196248 is about 442.9988713304. The cubic root of 196248 is about 58.1123466502.

It can be divided in two parts, 196 and 248, that added together give a palindrome (444).

The spelling of 196248 in words is "one hundred ninety-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 204 221 222 296 312 408 442 444 481 629 663 884 888 962 1258 1326 1443 1768 1887 1924 2516 2652 2886 3774 3848 5032 5304 5772 7548 8177 11544 15096 16354 24531 32708 49062 65416 98124 196248