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80861248 = 2613175717
BaseRepresentation
bin1001101000111…
…01100001000000
312122011011210001
410310131201000
5131200024443
612005045344
72001211036
oct464354100
9178134701
1080861248
114170a286
12230b6854
13139a23c0
14aa4c556
157173d4d
hex4d1d840

80861248 has 56 divisors (see below), whose sum is σ = 182998872. Its totient is φ = 35119104.

The previous prime is 80861239. The next prime is 80861273. The reversal of 80861248 is 84216808.

It can be written as a sum of positive squares in 4 ways, for example, as 11505664 + 69355584 = 3392^2 + 8328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11286 + ... + 17002.

It is an arithmetic number, because the mean of its divisors is an integer number (3267837).

Almost surely, 280861248 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 80861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91499436).

80861248 is an abundant number, since it is smaller than the sum of its proper divisors (102137624).

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

80861248 is a wasteful number, since it uses less digits than its factorization.

80861248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 80861248 is about 8992.2882516076. The cubic root of 80861248 is about 432.4276743193.

It can be divided in two parts, 80 and 861248, that added together give a triangular number (861328 = T1312).

The spelling of 80861248 in words is "eighty million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 5717 7072 11434 14144 22868 45736 74321 91472 97189 148642 182944 194378 297284 365888 388756 594568 777512 1189136 1263457 1555024 2378272 2526914 3110048 4756544 5053828 6220096 10107656 20215312 40430624 80861248