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81794916 = 22327289521
BaseRepresentation
bin1001110000000…
…01011101100100
312200220121112100
410320001131210
5131414414131
612041052100
72012150100
oct470013544
9180817470
1081794916
1142197805
1223487030
1313c3b378
14ac12900
1572aa7e6
hex4e01764

81794916 has 108 divisors (see below), whose sum is σ = 243685260. Its totient is φ = 23063040.

The previous prime is 81794897. The next prime is 81794927. The reversal of 81794916 is 61949718.

It is a happy number.

81794916 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 19448100 + 62346816 = 4410^2 + 7896^2 .

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 35 ways as a sum of consecutive naturals, for example, 156736 + ... + 157256.

It is an arithmetic number, because the mean of its divisors is an integer number (2256345).

Almost surely, 281794916 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 81794916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121842630).

81794916 is an abundant number, since it is smaller than the sum of its proper divisors (161890344).

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

81794916 is a wasteful number, since it uses less digits than its factorization.

81794916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 81794916 is about 9044.0541794043. The cubic root of 81794916 is about 434.0856577373.

The spelling of 81794916 in words is "eighty-one million, seven hundred ninety-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 89 98 126 147 178 196 252 267 294 356 441 521 534 588 623 801 882 1042 1068 1246 1563 1602 1764 1869 2084 2492 3126 3204 3647 3738 4361 4689 5607 6252 7294 7476 8722 9378 10941 11214 13083 14588 17444 18756 21882 22428 25529 26166 32823 39249 43764 46369 51058 52332 65646 76587 78498 92738 102116 131292 139107 153174 156996 185476 229761 278214 306348 324583 417321 459522 556428 649166 834642 919044 973749 1298332 1669284 1947498 2272081 2921247 3894996 4544162 5842494 6816243 9088324 11684988 13632486 20448729 27264972 40897458 81794916