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68444928 = 283261487
BaseRepresentation
bin1000001010001…
…10001100000000
311202210100210100
410011012030000
5120010214203
610443002400
71460525616
oct405061400
9152710710
1068444928
11356a9762
121ab09400
1311245a76
1491396b6
15601eea3
hex4146300

68444928 has 108 divisors (see below), whose sum is σ = 200990608. Its totient is φ = 22394880.

The previous prime is 68444911. The next prime is 68444933. The reversal of 68444928 is 82944486.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 140301 + ... + 140787.

Almost surely, 268444928 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 68444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100495304).

68444928 is an abundant number, since it is smaller than the sum of its proper divisors (132545680).

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

68444928 is a wasteful number, since it uses less digits than its factorization.

68444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 68444928 is about 8273.1449884551. The cubic root of 68444928 is about 409.0537926191.

The spelling of 68444928 in words is "sixty-eight million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 487 488 549 576 732 768 974 976 1098 1152 1461 1464 1948 1952 2196 2304 2922 2928 3896 3904 4383 4392 5844 5856 7792 7808 8766 8784 11688 11712 15584 15616 17532 17568 23376 23424 29707 31168 35064 35136 46752 46848 59414 62336 70128 70272 89121 93504 118828 124672 140256 140544 178242 187008 237656 267363 280512 356484 374016 475312 534726 561024 712968 950624 1069452 1122048 1425936 1901248 2138904 2851872 3802496 4277808 5703744 7604992 8555616 11407488 17111232 22814976 34222464 68444928