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80557536 = 2531038147
BaseRepresentation
bin1001100110100…
…11010111100000
312121120202011110
410303103113200
5131110320121
611554343320
71665504423
oct463232740
9177522143
1080557536
1141522084
1222b8ab40
13138c70a7
14a9ad9ba
157113d76
hex4cd35e0

80557536 has 48 divisors (see below), whose sum is σ = 213542784. Its totient is φ = 26588544.

The previous prime is 80557531. The next prime is 80557553. The reversal of 80557536 is 63575508.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 80557494 and 80557503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80557531) 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 7 ways as a sum of consecutive naturals, for example, 5815 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (4448808).

Almost surely, 280557536 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 80557536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106771392).

80557536 is an abundant number, since it is smaller than the sum of its proper divisors (132985248).

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

80557536 is a wasteful number, since it uses less digits than its factorization.

80557536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 80557536 is about 8975.3850056697. The cubic root of 80557536 is about 431.8856007096.

The spelling of 80557536 in words is "eighty million, five hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 8147 9888 16294 24441 32588 48882 65176 97764 130352 195528 260704 391056 782112 839141 1678282 2517423 3356564 5034846 6713128 10069692 13426256 20139384 26852512 40278768 80557536