Search a number
-
+
538466148 = 22321110113463
BaseRepresentation
bin100000000110000…
…101011101100100
31101112012220200200
4200012011131210
52100321404043
6125233110500
716225613103
oct4006053544
91345186620
10538466148
11256a4a650
121303b8430
138773272c
145172a03a
15324157d3
hex20185764

538466148 has 72 divisors (see below), whose sum is σ = 1499674176. Its totient is φ = 161544000.

The previous prime is 538466141. The next prime is 538466219. The reversal of 538466148 is 841664835.

It is not an unprimeable number, because it can be changed into a prime (538466141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33265 + ... + 46727.

It is an arithmetic number, because the mean of its divisors is an integer number (20828808).

Almost surely, 2538466148 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 538466148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749837088).

538466148 is an abundant number, since it is smaller than the sum of its proper divisors (961208028).

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

538466148 is a wasteful number, since it uses less digits than its factorization.

538466148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13585 (or 13580 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 538466148 is about 23204.8733674631. The cubic root of 538466148 is about 813.5535325283.

The spelling of 538466148 in words is "five hundred thirty-eight million, four hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 13463 19998 26926 39996 40389 53852 80778 121167 148093 161556 242334 296186 444279 484668 592372 888558 1332837 1359763 1777116 2665674 2719526 4079289 5331348 5439052 8158578 12237867 14957393 16317156 24475734 29914786 44872179 48951468 59829572 89744358 134616537 179488716 269233074 538466148