Search a number
-
+
9995895 = 3257132441
BaseRepresentation
bin100110001000…
…011001110111
3200210211210100
4212020121313
510024332040
6554125143
7150651360
oct46103167
920724710
109995895
115708078
1234207b3
1320bca40
141482b67
15d26b30
hex988677

9995895 has 48 divisors (see below), whose sum is σ = 21333312. Its totient is φ = 4216320.

The previous prime is 9995891. The next prime is 9995903. The reversal of 9995895 is 5985999.

9995895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9995895 - 22 = 9995891 is a prime.

9995895 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2875 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (444444).

Almost surely, 29995895 is an apocalyptic number.

9995895 is an abundant number, since it is smaller than the sum of its proper divisors (11337417).

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

9995895 is a wasteful number, since it uses less digits than its factorization.

9995895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2469 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 54.

The square root of 9995895 is about 3161.6285360554. The cubic root of 9995895 is about 215.4139851204.

The spelling of 9995895 in words is "nine million, nine hundred ninety-five thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 2441 4095 7323 12205 17087 21969 31733 36615 51261 85435 95199 109845 153783 158665 222131 256305 285597 475995 666393 768915 1110655 1427985 1999179 3331965 9995895