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80574816 = 253732447
BaseRepresentation
bin1001100110101…
…11100101100000
312121121121212110
410303113211200
5131111343231
611554555320
71665606000
oct463274540
9177547773
1080574816
1141534063
1222b98b40
1313901c0a
14a9b6000
157119046
hex4cd7960

80574816 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 23011968.

The previous prime is 80574811. The next prime is 80574817. The reversal of 80574816 is 61847508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80574811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31705 + ... + 34151.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 280574816 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 80574816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

80574816 is an abundant number, since it is smaller than the sum of its proper divisors (166183584).

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

80574816 is a wasteful number, since it uses less digits than its factorization.

80574816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 80574816 is about 8976.3475868529. The cubic root of 80574816 is about 431.9164790524.

The spelling of 80574816 in words is "eighty million, five hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2447 2744 4116 4704 4894 5488 7341 8232 9788 10976 14682 16464 17129 19576 29364 32928 34258 39152 51387 58728 68516 78304 102774 117456 119903 137032 205548 234912 239806 274064 359709 411096 479612 548128 719418 822192 839321 959224 1438836 1644384 1678642 1918448 2517963 2877672 3357284 3836896 5035926 5755344 6714568 10071852 11510688 13429136 20143704 26858272 40287408 80574816