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80536100 = 2252899049
BaseRepresentation
bin1001100110011…
…10001000100100
312121112122202112
410303032020210
5131104123400
611554100152
71665355061
oct463161044
9177478675
1080536100
1141507a67
1222b7a658
13138ba3c8
14a9a5c68
15710c835
hex4cce224

80536100 has 36 divisors (see below), whose sum is σ = 176746500. Its totient is φ = 31848960.

The previous prime is 80536063. The next prime is 80536147. The reversal of 80536100 is 163508.

It can be written as a sum of positive squares in 6 ways, for example, as 1290496 + 79245604 = 1136^2 + 8902^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4376 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (4909625).

Almost surely, 280536100 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 80536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88373250).

80536100 is an abundant number, since it is smaller than the sum of its proper divisors (96210400).

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

80536100 is a wasteful number, since it uses less digits than its factorization.

80536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 80536100 is about 8974.1907713175. The cubic root of 80536100 is about 431.8472897024.

Adding to 80536100 its reverse (163508), we get a palindrome (80699608).

The spelling of 80536100 in words is "eighty million, five hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 9049 18098 36196 45245 90490 180980 226225 452450 805361 904900 1610722 3221444 4026805 8053610 16107220 20134025 40268050 80536100