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68427828 = 2235789113
BaseRepresentation
bin1000001010000…
…10000000110100
311202202111100000
410011002000310
5120004142303
610442351300
71460425020
oct405020064
9152674300
1068427828
1135697927
121aabb530
131123b051
149133380
156019da3
hex4142034

68427828 has 144 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 19160064.

The previous prime is 68427809. The next prime is 68427833. The reversal of 68427828 is 82872486.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605500 + ... + 605612.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 268427828 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 68427828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

68427828 is an abundant number, since it is smaller than the sum of its proper divisors (140712012).

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

68427828 is a wasteful number, since it uses less digits than its factorization.

68427828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 68427828 is about 8272.1114595972. Note that the first 3 decimals coincide. The cubic root of 68427828 is about 409.0197243413.

The spelling of 68427828 in words is "sixty-eight million, four hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 89 108 113 126 162 178 189 226 243 252 267 324 339 356 378 452 486 534 567 623 678 756 791 801 972 1017 1068 1134 1246 1356 1582 1602 1701 1869 2034 2268 2373 2403 2492 3051 3164 3204 3402 3738 4068 4746 4806 5607 6102 6804 7119 7209 7476 9153 9492 9612 10057 11214 12204 14238 14418 16821 18306 20114 21357 21627 22428 27459 28476 28836 30171 33642 36612 40228 42714 43254 50463 54918 60342 64071 67284 70399 85428 86508 90513 100926 109836 120684 128142 140798 151389 181026 192213 201852 211197 256284 271539 281596 302778 362052 384426 422394 543078 605556 633591 768852 814617 844788 1086156 1267182 1629234 1900773 2443851 2534364 3258468 3801546 4887702 5702319 7603092 9775404 11404638 17106957 22809276 34213914 68427828