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492467928 = 233377173107
BaseRepresentation
bin11101010110100…
…111011011011000
31021022122221222220
4131112213123120
52002032433203
6120511144040
715126623361
oct3526473330
91238587886
10492467928
11232a92497
12118b15020
137b048954
1449594b68
152d37b653
hex1d5a76d8

492467928 has 128 divisors (see below), whose sum is σ = 1311966720. Its totient is φ = 153861120.

The previous prime is 492467869. The next prime is 492467939. The reversal of 492467928 is 829764294.

It is a super-2 number, since 2×4924679282 = 485049320217226368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602451 + ... + 4602557.

It is an arithmetic number, because the mean of its divisors is an integer number (10249740).

Almost surely, 2492467928 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 492467928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655983360).

492467928 is an abundant number, since it is smaller than the sum of its proper divisors (819498792).

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

492467928 is a wasteful number, since it uses less digits than its factorization.

492467928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 492467928 is about 22191.6184177721. The cubic root of 492467928 is about 789.6948712134.

The spelling of 492467928 in words is "four hundred ninety-two million, four hundred sixty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 71 73 74 107 111 142 146 148 213 214 219 222 284 292 296 321 426 428 438 444 568 584 642 852 856 876 888 1284 1704 1752 2568 2627 2701 3959 5183 5254 5402 7597 7811 7881 7918 8103 10366 10508 10804 11877 15194 15549 15622 15762 15836 16206 20732 21016 21608 22791 23433 23754 30388 31098 31244 31524 31672 32412 41464 45582 46866 47508 60776 62196 62488 63048 64824 91164 93732 95016 124392 182328 187464 191771 281089 289007 383542 554581 562178 575313 578014 767084 843267 867021 1109162 1124356 1150626 1156028 1534168 1663743 1686534 1734042 2218324 2248712 2301252 2312056 3327486 3373068 3468084 4436648 4602504 6654972 6746136 6936168 13309944 20519497 41038994 61558491 82077988 123116982 164155976 246233964 492467928