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81436672 = 2139941
BaseRepresentation
bin1001101101010…
…10000000000000
312200020102010001
410312222000000
5131321433142
612025245344
72006125462
oct466520000
9180212101
1081436672
1141a72639
1223333854
1313b442a5
14ab5c132
1572395b7
hex4daa000

81436672 has 28 divisors (see below), whose sum is σ = 162879786. Its totient is φ = 40714240.

The previous prime is 81436661. The next prime is 81436723. The reversal of 81436672 is 27663418.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 4096 = 9024^2 + 64^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3222 + ... + 13162.

Almost surely, 281436672 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 81436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81439893).

81436672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

81436672 is an frugal number, since it uses more digits than its factorization.

81436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967 (or 9943 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 81436672 is about 9024.2269475008. The cubic root of 81436672 is about 433.4509965818.

The spelling of 81436672 in words is "eighty-one million, four hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 9941 19882 39764 79528 159056 318112 636224 1272448 2544896 5089792 10179584 20359168 40718336 81436672