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81785856 = 210379337
BaseRepresentation
bin1001101111111…
…11010000000000
312200220011002210
410313333100000
5131414121411
612040542120
72012111505
oct467772000
9180804083
1081785856
1142190a19
1223481940
1313c371c9
14ac0d4ac
1572a7ca6
hex4dff400

81785856 has 88 divisors (see below), whose sum is σ = 221403520. Its totient is φ = 26836992.

The previous prime is 81785839. The next prime is 81785863. The reversal of 81785856 is 65858718.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242520 + ... + 242856.

Almost surely, 281785856 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 81785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110701760).

81785856 is an abundant number, since it is smaller than the sum of its proper divisors (139617664).

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

81785856 is a wasteful number, since it uses less digits than its factorization.

81785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The square root of 81785856 is about 9043.5532839697. The cubic root of 81785856 is about 434.0696300040.

The spelling of 81785856 in words is "eighty-one million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 337 384 474 512 632 674 768 948 1011 1024 1264 1348 1536 1896 2022 2528 2696 3072 3792 4044 5056 5392 7584 8088 10112 10784 15168 16176 20224 21568 26623 30336 32352 40448 43136 53246 60672 64704 79869 80896 86272 106492 121344 129408 159738 172544 212984 242688 258816 319476 345088 425968 517632 638952 851936 1035264 1277904 1703872 2555808 3407744 5111616 6815488 10223232 13630976 20446464 27261952 40892928 81785856