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81085284 = 22327794073
BaseRepresentation
bin1001101010101…
…00001101100100
312122120120002200
410311110031210
5131224212114
612013534500
72003133150
oct465241544
9178516080
1081085284
1141852635
12231a4430
1313a50377
14aaaa060
1571ba409
hex4d54364

81085284 has 72 divisors (see below), whose sum is σ = 237269760. Its totient is φ = 22868352.

The previous prime is 81085271. The next prime is 81085289. The reversal of 81085284 is 48258018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81085289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17872 + ... + 21944.

Almost surely, 281085284 is an apocalyptic number.

81085284 is a gapful number since it is divisible by the number (84) 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 81085284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118634880).

81085284 is an abundant number, since it is smaller than the sum of its proper divisors (156184476).

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

81085284 is a wasteful number, since it uses less digits than its factorization.

81085284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 81085284 is about 9004.7367535092. The cubic root of 81085284 is about 432.8266706834.

The spelling of 81085284 in words is "eighty-one million, eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4073 4977 6636 8146 9954 12219 16292 19908 24438 28511 36657 48876 57022 73314 85533 114044 146628 171066 256599 321767 342132 513198 643534 965301 1026396 1287068 1930602 2252369 2895903 3861204 4504738 5791806 6757107 9009476 11583612 13514214 20271321 27028428 40542642 81085284