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81205248 = 211313217
BaseRepresentation
bin1001101011100…
…01100000000000
312122210122122210
410311301200000
5131242031443
612020302120
72004142665
oct465614000
9178718583
1081205248
1141924783
1223241940
1313a92b57
14aadba6c
1571e0c33
hex4d71800

81205248 has 48 divisors (see below), whose sum is σ = 216510840. Its totient is φ = 27066368.

The previous prime is 81205247. The next prime is 81205261. The reversal of 81205248 is 84250218.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81205247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 465 + ... + 12752.

Almost surely, 281205248 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 81205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108255420).

81205248 is an abundant number, since it is smaller than the sum of its proper divisors (135305592).

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

81205248 is a wasteful number, since it uses less digits than its factorization.

81205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 81205248 is about 9011.3954524258. The cubic root of 81205248 is about 433.0400182049.

The spelling of 81205248 in words is "eighty-one million, two hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 13217 26434 39651 52868 79302 105736 158604 211472 317208 422944 634416 845888 1268832 1691776 2537664 3383552 5075328 6767104 10150656 13534208 20301312 27068416 40602624 81205248