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80893136 = 243125261
BaseRepresentation
bin1001101001001…
…01010011010000
312122012210112002
410310211103100
5131202040021
612005453132
72001403022
oct464452320
9178183462
1080893136
1141731235
12231111a8
13139b3a7c
14aa5a012
15717d50b
hex4d254d0

80893136 has 30 divisors (see below), whose sum is σ = 161980146. Its totient is φ = 39134400.

The previous prime is 80893133. The next prime is 80893181. The reversal of 80893136 is 63139808.

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 5550736 = 8680^2 + 2356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80893136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80893133) 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 5 ways as a sum of consecutive naturals, for example, 12746 + ... + 18006.

Almost surely, 280893136 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 80893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80990073).

80893136 is an abundant number, since it is smaller than the sum of its proper divisors (81087010).

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

80893136 is a wasteful number, since it uses less digits than its factorization.

80893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 80893136 is about 8994.0611516711. The cubic root of 80893136 is about 432.4845101205.

It can be divided in two parts, 8089313 and 6, that multiplied together give a triangular number (48535878 = T9852).

The spelling of 80893136 in words is "eighty million, eight hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 5261 7688 10522 15376 21044 42088 84176 163091 326182 652364 1304728 2609456 5055821 10111642 20223284 40446568 80893136