Search a number
-
+
828194148 = 2232974872
BaseRepresentation
bin110001010111010…
…011110101100100
32010201101121210100
4301113103311210
53144004203043
6214103024100
726344351125
oct6127236544
92121347710
10828194148
11395548581
121b143b030
13102774c12
147bdc804c
154ca95cd3
hex315d3d64

828194148 has 54 divisors (see below), whose sum is σ = 2119425126. Its totient is φ = 272657664.

The previous prime is 828194141. The next prime is 828194149. The reversal of 828194148 is 841491828.

It can be written as a sum of positive squares in only one way, i.e., 691584804 + 136609344 = 26298^2 + 11688^2 .

It is not an unprimeable number, because it can be changed into a prime (828194141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1700361 + ... + 1700847.

Almost surely, 2828194148 is an apocalyptic number.

It is an amenable number.

828194148 is an abundant number, since it is smaller than the sum of its proper divisors (1291230978).

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

828194148 is a wasteful number, since it uses less digits than its factorization.

828194148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 589 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 828194148 is about 28778.3624968482. The cubic root of 828194148 is about 939.0975751508.

The spelling of 828194148 in words is "eight hundred twenty-eight million, one hundred ninety-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 487 582 873 974 1164 1461 1746 1948 2922 3492 4383 5844 8766 17532 47239 94478 141717 188956 237169 283434 425151 474338 566868 711507 850302 948676 1423014 1700604 2134521 2846028 4269042 8538084 23005393 46010786 69016179 92021572 138032358 207048537 276064716 414097074 828194148