Search a number
-
+
195417964 = 22719219333
BaseRepresentation
bin10111010010111…
…01011101101100
3111121201021001101
423221131131230
5400011333324
631220252444
74562011450
oct1351353554
9447637041
10195417964
11a0343455
1255541124
1331641841
141bd4c660
1512251944
hexba5d76c

195417964 has 36 divisors (see below), whose sum is σ = 412510224. Its totient is φ = 79338528.

The previous prime is 195417919. The next prime is 195417967. The reversal of 195417964 is 469714591.

It is not an unprimeable number, because it can be changed into a prime (195417967) 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 11 ways as a sum of consecutive naturals, for example, 442 + ... + 19774.

Almost surely, 2195417964 is an apocalyptic number.

195417964 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 195417964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206255112).

195417964 is an abundant number, since it is smaller than the sum of its proper divisors (217092260).

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

195417964 is a wasteful number, since it uses less digits than its factorization.

195417964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19382 (or 19361 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 195417964 is about 13979.1975449237. The cubic root of 195417964 is about 580.3030164558.

It can be divided in two parts, 19 and 5417964, that multiplied together give a square (102941316 = 101462).

The spelling of 195417964 in words is "one hundred ninety-five million, four hundred seventeen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 5054 10108 19333 38666 77332 135331 270662 367327 541324 734654 1469308 2571289 5142578 6979213 10285156 13958426 27916852 48854491 97708982 195417964