Search a number
-
+
538342464 = 26311416217
BaseRepresentation
bin100000000101100…
…111010001000000
31101111222122000210
4200011213101000
52100303424324
6125230314120
716224556362
oct4005472100
91344878023
10538342464
11256975730
12130358940
13876bb34a
14516d6d32
15323ddd29
hex20167440

538342464 has 112 divisors (see below), whose sum is σ = 1592006976. Its totient is φ = 159129600.

The previous prime is 538342463. The next prime is 538342471. The reversal of 538342464 is 464243835.

It is not an unprimeable number, because it can be changed into a prime (538342463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83484 + ... + 89700.

It is an arithmetic number, because the mean of its divisors is an integer number (14214348).

Almost surely, 2538342464 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 538342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796003488).

538342464 is an abundant number, since it is smaller than the sum of its proper divisors (1053664512).

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

538342464 is a wasteful number, since it uses less digits than its factorization.

538342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6274 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 538342464 is about 23202.2081707755. The cubic root of 538342464 is about 813.4912375194.

The spelling of 538342464 in words is "five hundred thirty-eight million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 246 264 328 352 451 492 528 656 704 902 984 1056 1312 1353 1804 1968 2112 2624 2706 3608 3936 5412 6217 7216 7872 10824 12434 14432 18651 21648 24868 28864 37302 43296 49736 68387 74604 86592 99472 136774 149208 198944 205161 254897 273548 298416 397888 410322 509794 547096 596832 764691 820644 1019588 1094192 1193664 1529382 1641288 2039176 2188384 2803867 3058764 3282576 4078352 4376768 5607734 6117528 6565152 8156704 8411601 11215468 12235056 13130304 16313408 16823202 22430936 24470112 33646404 44861872 48940224 67292808 89723744 134585616 179447488 269171232 538342464