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195948 = 22325443
BaseRepresentation
bin101111110101101100
3100221210100
4233311230
522232243
64111100
71444164
oct576554
9327710
10195948
11124245
1295490
136b25c
14515a4
153d0d3
hex2fd6c

195948 has 18 divisors (see below), whose sum is σ = 495404. Its totient is φ = 65304.

The previous prime is 195931. The next prime is 195967. The reversal of 195948 is 849591.

195948 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5443 = 195948 / (1 + 9 + 5 + 9 + 4 + 8).

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195948.

It is an unprimeable number.

195948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2686 + ... + 2757.

2195948 is an apocalyptic number.

195948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

195948 is an abundant number, since it is smaller than the sum of its proper divisors (299456).

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

195948 is a wasteful number, since it uses less digits than its factorization.

195948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5448 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 195948 is about 442.6601405141. The cubic root of 195948 is about 58.0827198599.

The spelling of 195948 in words is "one hundred ninety-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5443 10886 16329 21772 32658 48987 65316 97974 195948