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80952066 = 23213457757
BaseRepresentation
bin1001101001100…
…11101100000010
312122022210100200
410310303230002
5131210431231
612011030030
72002036566
oct464635402
9178283320
1080952066
1141771538
122313b316
1313a04840
14aa736a6
157190be6
hex4d33b02

80952066 has 48 divisors (see below), whose sum is σ = 189551544. Its totient is φ = 24820992.

The previous prime is 80952043. The next prime is 80952073. The reversal of 80952066 is 66025908.

It can be written as a sum of positive squares in 4 ways, for example, as 72743841 + 8208225 = 8529^2 + 2865^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 80952066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106560 + ... + 107316.

Almost surely, 280952066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80952066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94775772).

80952066 is an abundant number, since it is smaller than the sum of its proper divisors (108599478).

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

80952066 is a wasteful number, since it uses less digits than its factorization.

80952066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 80952066 is about 8997.3366059073. The cubic root of 80952066 is about 432.5895051262.

The spelling of 80952066 in words is "eighty million, nine hundred fifty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 457 757 914 1371 1514 2271 2742 4113 4542 5941 6813 8226 9841 11882 13626 17823 19682 29523 35646 53469 59046 88569 106938 177138 345949 691898 1037847 2075694 3113541 4497337 6227082 8994674 13492011 26984022 40476033 80952066