Search a number
-
+
482233024 = 26713312671
BaseRepresentation
bin11100101111100…
…100101011000000
31020121101222100101
4130233210223000
51441422424044
6115503532144
714643625120
oct3457445300
91217358311
10482233024
11228231899
121155ba054
1378ba41b0
144808cc80
152c508cd4
hex1cbe4ac0

482233024 has 112 divisors (see below), whose sum is σ = 1216208896. Its totient is φ = 184550400.

The previous prime is 482232953. The next prime is 482233027. The reversal of 482233024 is 420332284.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 482232983 and 482233001.

It is not an unprimeable number, because it can be changed into a prime (482233027) 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, 179209 + ... + 181879.

It is an arithmetic number, because the mean of its divisors is an integer number (10859008).

Almost surely, 2482233024 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 482233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608104448).

482233024 is an abundant number, since it is smaller than the sum of its proper divisors (733975872).

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

482233024 is a wasteful number, since it uses less digits than its factorization.

482233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 482233024 is about 21959.8047350153. The cubic root of 482233024 is about 784.1858160145.

The spelling of 482233024 in words is "four hundred eighty-two million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 992 1456 1612 1736 1984 2671 2821 2912 3224 3472 5342 5642 5824 6448 6944 10684 11284 12896 13888 18697 21368 22568 25792 34723 37394 42736 45136 69446 74788 82801 85472 90272 138892 149576 165602 170944 180544 243061 277784 299152 331204 486122 555568 579607 598304 662408 972244 1076413 1111136 1159214 1196608 1324816 1944488 2152826 2222272 2318428 2649632 3888976 4305652 4636856 5299264 7534891 7777952 8611304 9273712 15069782 15555904 17222608 18547424 30139564 34445216 37094848 60279128 68890432 120558256 241116512 482233024