Search a number
-
+
81796176 = 24337112459
BaseRepresentation
bin1001110000000…
…01110001010000
312200220200021000
410320001301100
5131414434201
612041102000
72012153550
oct470016120
9180820230
1081796176
1142198750
1223487900
1313c3bb07
14ac13160
1572aad86
hex4e01c50

81796176 has 160 divisors (see below), whose sum is σ = 292838400. Its totient is φ = 21237120.

The previous prime is 81796151. The next prime is 81796199. The reversal of 81796176 is 67169718.

It is a super-2 number, since 2×817961762 = 13381228816445952, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32035 + ... + 34493.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 281796176 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 81796176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146419200).

81796176 is an abundant number, since it is smaller than the sum of its proper divisors (211042224).

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

81796176 is a wasteful number, since it uses less digits than its factorization.

81796176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2482 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 81796176 is about 9044.1238381614. The cubic root of 81796176 is about 434.0878866660.

The spelling of 81796176 in words is "eighty-one million, seven hundred ninety-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2459 2772 3024 3696 4158 4752 4918 5544 7377 8316 9836 11088 14754 16632 17213 19672 22131 27049 29508 33264 34426 39344 44262 51639 54098 59016 66393 68852 81147 88524 103278 108196 118032 132786 137704 154917 162294 177048 189343 206556 216392 243441 265572 275408 309834 324588 354096 378686 413112 432784 464751 486882 531144 568029 619668 649176 730323 757372 826224 929502 973764 1062288 1136058 1239336 1298352 1460646 1514744 1704087 1859004 1947528 2272116 2478672 2921292 3029488 3408174 3718008 3895056 4544232 5112261 5842584 6816348 7436016 9088464 10224522 11685168 13632696 20449044 27265392 40898088 81796176