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81908928 = 2633107443
BaseRepresentation
bin1001110000111…
…01010011000000
312201010101221000
410320131103000
5131432041203
612043332000
72013133353
oct470352300
9181111830
1081908928
1142265432
1223521000
1313c7b22a
14ac4229a
1572ce4a3
hex4e1d4c0

81908928 has 112 divisors (see below), whose sum is σ = 243596160. Its totient is φ = 26986752.

The previous prime is 81908923. The next prime is 81908951. The reversal of 81908928 is 82980918.

It is a super-2 number, since 2×819089282 = 13418144972218368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81908923) by changing a digit.

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, 184675 + ... + 185117.

Almost surely, 281908928 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 81908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121798080).

81908928 is an abundant number, since it is smaller than the sum of its proper divisors (161687232).

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

81908928 is a wasteful number, since it uses less digits than its factorization.

81908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 81908928 is about 9050.3551311537. The cubic root of 81908928 is about 434.2872513466.

The spelling of 81908928 in words is "eighty-one million, nine hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 144 192 214 216 288 321 428 432 443 576 642 856 864 886 963 1284 1329 1712 1728 1772 1926 2568 2658 2889 3424 3544 3852 3987 5136 5316 5778 6848 7088 7704 7974 10272 10632 11556 11961 14176 15408 15948 20544 21264 23112 23922 28352 30816 31896 42528 46224 47401 47844 61632 63792 85056 92448 94802 95688 127584 142203 184896 189604 191376 255168 284406 379208 382752 426609 568812 758416 765504 853218 1137624 1279827 1516832 1706436 2275248 2559654 3033664 3412872 4550496 5119308 6825744 9100992 10238616 13651488 20477232 27302976 40954464 81908928