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80934912 = 211324391
BaseRepresentation
bin1001101001011…
…11100000000000
312122021220211100
410310233200000
5131204404122
612010414400
72001635562
oct464574000
9178256740
1080934912
114175a663
1223131400
13139c9aa6
14aa6b332
15718aaac
hex4d2f800

80934912 has 72 divisors (see below), whose sum is σ = 233808120. Its totient is φ = 26972160.

The previous prime is 80934899. The next prime is 80934923. The reversal of 80934912 is 21943908.

80934912 is a `hidden beast` number, since 80 + 93 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16237 + ... + 20627.

It is an arithmetic number, because the mean of its divisors is an integer number (3247335).

Almost surely, 280934912 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 80934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116904060).

80934912 is an abundant number, since it is smaller than the sum of its proper divisors (152873208).

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

80934912 is a wasteful number, since it uses less digits than its factorization.

80934912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 80934912 is about 8996.3832732938. The cubic root of 80934912 is about 432.5589472708.

It can be divided in two parts, 809 and 34912, that added together give a square (35721 = 1892).

The spelling of 80934912 in words is "eighty million, nine hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4391 4608 6144 8782 9216 13173 17564 18432 26346 35128 39519 52692 70256 79038 105384 140512 158076 210768 281024 316152 421536 562048 632304 843072 1124096 1264608 1686144 2248192 2529216 3372288 4496384 5058432 6744576 8992768 10116864 13489152 20233728 26978304 40467456 80934912