Search a number
-
+
190256292 = 223211346769
BaseRepresentation
bin10110101011100…
…01010010100100
3111021000000120100
423111301102210
5342201200132
630513504100
74500103032
oct1325612244
9437000510
10190256292
1198438406
1253872030
13305552b5
141b3a7552
1511a8237c
hexb5714a4

190256292 has 36 divisors (see below), whose sum is σ = 485191980. Its totient is φ = 62856192.

The previous prime is 190256263. The next prime is 190256293. The reversal of 190256292 is 292652091.

It is a happy number.

190256292 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 562 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 172817316 = 4176^2 + 13146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190256293) 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 11 ways as a sum of consecutive naturals, for example, 19317 + ... + 27452.

It is an arithmetic number, because the mean of its divisors is an integer number (13477555).

Almost surely, 2190256292 is an apocalyptic number.

190256292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190256292 is an abundant number, since it is smaller than the sum of its proper divisors (294935688).

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

190256292 is a wasteful number, since it uses less digits than its factorization.

190256292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46892 (or 46887 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 190256292 is about 13793.3423070697. The cubic root of 190256292 is about 575.1480823393.

The spelling of 190256292 in words is "one hundred ninety million, two hundred fifty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 46769 93538 140307 187076 280614 420921 561228 841842 1683684 5284897 10569794 15854691 21139588 31709382 47564073 63418764 95128146 190256292