Search a number
-
+
4741164 = 22321761127
BaseRepresentation
bin10010000101100000101100
322220212122200
4102011200230
52203204124
6245341500
755204431
oct22054054
98825580
104741164
11274911a
121707890
13ca002c
148b5b88
15639bc9
hex48582c

4741164 has 72 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1451520.

The previous prime is 4741133. The next prime is 4741169. The reversal of 4741164 is 4611474.

It is not an unprimeable number, because it can be changed into a prime (4741169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37269 + ... + 37395.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 24741164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4741164 is an abundant number, since it is smaller than the sum of its proper divisors (8258004).

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

4741164 is a wasteful number, since it uses less digits than its factorization.

4741164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4741164 is about 2177.4214107517. The cubic root of 4741164 is about 167.9944726073.

The spelling of 4741164 in words is "four million, seven hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 127 153 183 204 244 254 306 366 381 508 549 612 732 762 1037 1098 1143 1524 2074 2159 2196 2286 3111 4148 4318 4572 6222 6477 7747 8636 9333 12444 12954 15494 18666 19431 23241 25908 30988 37332 38862 46482 69723 77724 92964 131699 139446 263398 278892 395097 526796 790194 1185291 1580388 2370582 4741164