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168428484 = 2234721032
BaseRepresentation
bin10100000101000…
…00001111000100
3102201221001110000
422002200033010
5321104202414
624414001300
74113422100
oct1202401704
9381831400
10168428484
11870898a4
12484a6230
1328b81c33
1418524900
15ebbeb09
hexa0a03c4

168428484 has 135 divisors (see below), whose sum is σ = 517212927. Its totient is φ = 47655216.

The previous prime is 168428479. The next prime is 168428531. The reversal of 168428484 is 484824861.

The square root of 168428484 is 12978.

It is a perfect power (a square), and thus also a powerful number.

168428484 is a `hidden beast` number, since 168 + 4 + 2 + 8 + 484 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1635177 + ... + 1635279.

Almost surely, 2168428484 is an apocalyptic number.

168428484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

168428484 is the 12978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168428484

168428484 is an abundant number, since it is smaller than the sum of its proper divisors (348784443).

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

168428484 is a wasteful number, since it uses less digits than its factorization.

168428484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 115 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The cubic root of 168428484 is about 552.2535460936.

The spelling of 168428484 in words is "one hundred sixty-eight million, four hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 103 108 126 147 162 189 196 206 252 294 309 324 378 412 441 567 588 618 721 756 882 927 1134 1236 1323 1442 1764 1854 2163 2268 2646 2781 2884 3708 3969 4326 5047 5292 5562 6489 7938 8343 8652 10094 10609 11124 12978 15141 15876 16686 19467 20188 21218 25956 30282 31827 33372 38934 42436 45423 58401 60564 63654 74263 77868 90846 95481 116802 127308 136269 148526 181692 190962 222789 233604 272538 286443 297052 381924 408807 445578 519841 545076 572886 668367 817614 859329 891156 1039682 1145772 1336734 1559523 1635228 1718658 2005101 2079364 2673468 3119046 3437316 4010202 4678569 6015303 6238092 8020404 9357138 12030606 14035707 18714276 24061212 28071414 42107121 56142828 84214242 168428484