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76880736 = 2532266947
BaseRepresentation
bin1001001010100…
…01101101100000
312100122221112200
410211101231200
5124140140421
611343453200
71622322042
oct445215540
9170587480
1076880736
113a4406a9
12218b7200
1312c0a67a
14a2d3a92
156b39726
hex4951b60

76880736 has 36 divisors (see below), whose sum is σ = 218630412. Its totient is φ = 25626816.

The previous prime is 76880731. The next prime is 76880737. The reversal of 76880736 is 63708867.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 76880691 and 76880700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76880731) 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, 133186 + ... + 133761.

It is an arithmetic number, because the mean of its divisors is an integer number (6073067).

Almost surely, 276880736 is an apocalyptic number.

It is an amenable number.

76880736 is an abundant number, since it is smaller than the sum of its proper divisors (141749676).

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

76880736 is a wasteful number, since it uses less digits than its factorization.

76880736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266963 (or 266952 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76880736 is about 8768.1660568217. The cubic root of 76880736 is about 425.2123248186.

The spelling of 76880736 in words is "seventy-six million, eight hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 266947 533894 800841 1067788 1601682 2135576 2402523 3203364 4271152 4805046 6406728 8542304 9610092 12813456 19220184 25626912 38440368 76880736