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81783328 = 25111779173
BaseRepresentation
bin1001101111111…
…10101000100000
312200220000122011
410313332220200
5131414031303
612040522304
72012101234
oct467765040
9180800564
1081783328
114218a030
1223480394
1313c36003
14ac0c5c4
1572a716d
hex4dfea20

81783328 has 96 divisors (see below), whose sum is σ = 189423360. Its totient is φ = 34344960.

The previous prime is 81783259. The next prime is 81783329. The reversal of 81783328 is 82338718.

It is not an unprimeable number, because it can be changed into a prime (81783329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472650 + ... + 472822.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 281783328 is an apocalyptic number.

81783328 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 81783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680).

81783328 is an abundant number, since it is smaller than the sum of its proper divisors (107640032).

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

81783328 is a wasteful number, since it uses less digits than its factorization.

81783328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 81783328 is about 9043.4135148184. The cubic root of 81783328 is about 434.0651575953.

The spelling of 81783328 in words is "eighty-one million, seven hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 79 88 136 158 173 176 187 272 316 346 352 374 544 632 692 748 869 1264 1343 1384 1496 1738 1903 2528 2686 2768 2941 2992 3476 3806 5372 5536 5882 5984 6952 7612 10744 11764 13667 13904 14773 15224 21488 23528 27334 27808 29546 30448 32351 42976 47056 54668 59092 60896 64702 94112 109336 118184 129404 150337 218672 232339 236368 258808 300674 437344 464678 472736 517616 601348 929356 1035232 1202696 1858712 2405392 2555729 3717424 4810784 5111458 7434848 10222916 20445832 40891664 81783328