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80283636 = 2234372181
BaseRepresentation
bin1001100100100…
…00011111110100
312121001211110000
410302100133310
5131023034021
611544431300
71663254036
oct462203764
9177054400
1080283636
1141355314
1222a78530
131382c514
14a93bc56
1570acb26
hex4c907f4

80283636 has 90 divisors (see below), whose sum is σ = 216894678. Its totient is φ = 25894080.

The previous prime is 80283631. The next prime is 80283647. The reversal of 80283636 is 63638208.

80283636 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 18974736 + 61308900 = 4356^2 + 7830^2 .

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 80283636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80283631) 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 29 ways as a sum of consecutive naturals, for example, 443466 + ... + 443646.

Almost surely, 280283636 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 80283636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108447339).

80283636 is an abundant number, since it is smaller than the sum of its proper divisors (136611042).

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

80283636 is a wasteful number, since it uses less digits than its factorization.

80283636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 80283636 is about 8960.1136153511. The cubic root of 80283636 is about 431.3955667380.

It can be divided in two parts, 8028 and 3636, that added together give a square (11664 = 1082).

The spelling of 80283636 in words is "eighty million, two hundred eighty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 181 222 324 333 362 444 543 666 724 999 1086 1332 1369 1629 1998 2172 2738 2997 3258 3996 4107 4887 5476 5994 6516 6697 8214 9774 11988 12321 13394 14661 16428 19548 20091 24642 26788 29322 36963 40182 49284 58644 60273 73926 80364 110889 120546 147852 180819 221778 241092 247789 361638 443556 495578 542457 723276 743367 991156 1084914 1486734 2169828 2230101 2973468 4460202 6690303 8920404 13380606 20070909 26761212 40141818 80283636