Search a number
-
+
81928896 = 2637471297
BaseRepresentation
bin1001110001000…
…10001011000000
312201011102022120
410320202023000
5131433211041
612044004240
72013245520
oct470421300
9181142276
1081928896
1142279435
1223530680
1313c8734a
14ac49680
1572d5366
hex4e222c0

81928896 has 112 divisors (see below), whose sum is σ = 253203456. Its totient is φ = 22892544.

The previous prime is 81928879. The next prime is 81928901. The reversal of 81928896 is 69882918.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62520 + ... + 63816.

Almost surely, 281928896 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 81928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126601728).

81928896 is an abundant number, since it is smaller than the sum of its proper divisors (171274560).

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

81928896 is a wasteful number, since it uses less digits than its factorization.

81928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 81928896 is about 9051.4582250597. The cubic root of 81928896 is about 434.3225390882.

The spelling of 81928896 in words is "eighty-one million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1297 1316 1344 1504 1974 2256 2594 2632 3008 3891 3948 4512 5188 5264 7782 7896 9024 9079 10376 10528 15564 15792 18158 20752 21056 27237 31128 31584 36316 41504 54474 60959 62256 63168 72632 83008 108948 121918 124512 145264 182877 217896 243836 249024 290528 365754 426713 435792 487672 581056 731508 853426 871584 975344 1280139 1463016 1706852 1743168 1950688 2560278 2926032 3413704 3901376 5120556 5852064 6827408 10241112 11704128 13654816 20482224 27309632 40964448 81928896