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80557056 = 210328741
BaseRepresentation
bin1001100110100…
…11010000000000
312121120201111200
410303103100000
5131110311211
611554341200
71665503136
oct463232000
9177521450
1080557056
1141521788
1222b8a800
13138c6ac8
14a9ad756
157113b56
hex4cd3400

80557056 has 66 divisors (see below), whose sum is σ = 232633362. Its totient is φ = 26849280.

The previous prime is 80557051. The next prime is 80557069. The reversal of 80557056 is 65075508.

80557056 is a `hidden beast` number, since 80 + 5 + 570 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 23040000 = 7584^2 + 4800^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 80557056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80557051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4846 + ... + 13586.

Almost surely, 280557056 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 80557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116316681).

80557056 is an abundant number, since it is smaller than the sum of its proper divisors (152076306).

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

80557056 is a wasteful number, since it uses less digits than its factorization.

80557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 80557056 is about 8975.3582658298. The cubic root of 80557056 is about 431.8847429148.

The spelling of 80557056 in words is "eighty million, five hundred fifty-seven thousand, fifty-six".

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 2304 3072 4608 8741 9216 17482 26223 34964 52446 69928 78669 104892 139856 157338 209784 279712 314676 419568 559424 629352 839136 1118848 1258704 1678272 2237696 2517408 3356544 4475392 5034816 6713088 8950784 10069632 13426176 20139264 26852352 40278528 80557056