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80866432 = 271941811
BaseRepresentation
bin1001101000111…
…10110010000000
312122011102220001
410310132302000
5131200211212
612005125344
72001232123
oct464366200
9178142801
1080866432
1141713169
12230b9854
13139a487a
14aa503ba
157175657
hex4d1ec80

80866432 has 64 divisors (see below), whose sum is σ = 173930400. Its totient is φ = 37324800.

The previous prime is 80866417. The next prime is 80866439. The reversal of 80866432 is 23466808.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 80866391 and 80866400.

It is not an unprimeable number, because it can be changed into a prime (80866439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99307 + ... + 100117.

Almost surely, 280866432 is an apocalyptic number.

80866432 is a gapful number since it is divisible by the number (82) 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 80866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86965200).

80866432 is an abundant number, since it is smaller than the sum of its proper divisors (93063968).

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

80866432 is a wasteful number, since it uses less digits than its factorization.

80866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 80866432 is about 8992.5764939755. The cubic root of 80866432 is about 432.4369150752.

The spelling of 80866432 in words is "eighty million, eight hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 304 328 608 656 779 811 1216 1312 1558 1622 2432 2624 3116 3244 5248 6232 6488 12464 12976 15409 24928 25952 30818 33251 49856 51904 61636 66502 99712 103808 123272 133004 246544 266008 493088 532016 631769 986176 1064032 1263538 1972352 2128064 2527076 4256128 5054152 10108304 20216608 40433216 80866432