Search a number
-
+
195258441 = 3741241941
BaseRepresentation
bin10111010001101…
…10100001001001
3111121102011020010
423220312201021
5344441232231
631213022133
74560445410
oct1350664111
9447364203
10195258441
11a0244614
1255484949
13315b7051
141bd0a477
151221e546
hexba36849

195258441 has 32 divisors (see below), whose sum is σ = 306383616. Its totient is φ = 108288000.

The previous prime is 195258409. The next prime is 195258451. The reversal of 195258441 is 144852591.

195258441 is a nontrivial binomial coefficient, being equal to C(19762, 2).

It is not a de Polignac number, because 195258441 - 25 = 195258409 is a prime.

It is a super-3 number, since 3×1952584413 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 195258441.

It is not an unprimeable number, because it can be changed into a prime (195258451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207031 + ... + 207971.

It is an arithmetic number, because the mean of its divisors is an integer number (9574488).

Almost surely, 2195258441 is an apocalyptic number.

195258441 is the 19761-st triangular number and also the 9881-st hexagonal number.

It is an amenable number.

195258441 is a deficient number, since it is larger than the sum of its proper divisors (111125175).

195258441 is a wasteful number, since it uses less digits than its factorization.

195258441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233.

The product of its digits is 57600, while the sum is 39.

The square root of 195258441 is about 13973.4906519452. The cubic root of 195258441 is about 580.1450697367.

It can be divided in two parts, 19525 and 8441, that added together give a triangular number (27966 = T236).

The spelling of 195258441 in words is "one hundred ninety-five million, two hundred fifty-eight thousand, four hundred forty-one".

Divisors: 1 3 7 21 41 123 241 287 723 861 941 1687 2823 5061 6587 9881 19761 29643 38581 69167 115743 207501 226781 270067 680343 810201 1587467 4762401 9298021 27894063 65086147 195258441