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81819408 = 24311831867
BaseRepresentation
bin1001110000001…
…11011100010000
312200221212010110
410320013130100
5131421210113
612041401320
72012311356
oct470073420
9180855113
1081819408
1142204150
1223499240
1313c49568
14ac1b7d6
1572b2bc3
hex4e07710

81819408 has 80 divisors (see below), whose sum is σ = 233485056. Its totient is φ = 24481920.

The previous prime is 81819379. The next prime is 81819443. The reversal of 81819408 is 80491818.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42891 + ... + 44757.

Almost surely, 281819408 is an apocalyptic number.

81819408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81819408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116742528).

81819408 is an abundant number, since it is smaller than the sum of its proper divisors (151665648).

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

81819408 is a wasteful number, since it uses less digits than its factorization.

81819408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 81819408 is about 9045.4081168292. The cubic root of 81819408 is about 434.1289797654.

The spelling of 81819408 in words is "eighty-one million, eight hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1867 1992 2739 3652 3734 3984 5478 5601 7304 7468 10956 11202 14608 14936 20537 21912 22404 29872 41074 43824 44808 61611 82148 89616 123222 154961 164296 246444 309922 328592 464883 492888 619844 929766 985776 1239688 1704571 1859532 2479376 3409142 3719064 5113713 6818284 7438128 10227426 13636568 20454852 27273136 40909704 81819408