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80364544 = 210136037
BaseRepresentation
bin1001100101001…
…00010000000000
312121012221102121
410302210100000
5131033131134
611550254024
71664041651
oct462442000
9177187377
1080364544
1141400087
1222ab7314
131385a2b0
14a95d528
1570c6ab4
hex4ca4400

80364544 has 44 divisors (see below), whose sum is σ = 173037004. Its totient is φ = 37085184.

The previous prime is 80364527. The next prime is 80364569. The reversal of 80364544 is 44546308.

It can be written as a sum of positive squares in 2 ways, for example, as 13778944 + 66585600 = 3712^2 + 8160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10294 + ... + 16330.

Almost surely, 280364544 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 80364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86518502).

80364544 is an abundant number, since it is smaller than the sum of its proper divisors (92672460).

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

80364544 is a wasteful number, since it uses less digits than its factorization.

80364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 80364544 is about 8964.6273765283. The cubic root of 80364544 is about 431.5404349240.

It can be divided in two parts, 80364 and 544, that added together give a palindrome (80908).

The spelling of 80364544 in words is "eighty million, three hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6037 6656 12074 13312 24148 48296 78481 96592 156962 193184 313924 386368 627848 772736 1255696 1545472 2511392 3090944 5022784 6181888 10045568 20091136 40182272 80364544