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80449100 = 225217371279
BaseRepresentation
bin1001100101110…
…00111001001100
312121101020102022
410302320321030
5131043332400
611552145312
71664543324
oct462707114
9177336368
1080449100
1141458666
1222b38238
1313889924
14a982284
1570e1b85
hex4cb8e4c

80449100 has 72 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 29445120.

The previous prime is 80449091. The next prime is 80449129. The reversal of 80449100 is 194408.

It is a self number, because there is not a number n which added to its sum of digits gives 80449100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62261 + ... + 63539.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 280449100 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 80449100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

80449100 is an abundant number, since it is smaller than the sum of its proper divisors (109538740).

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

80449100 is a wasteful number, since it uses less digits than its factorization.

80449100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 80449100 is about 8969.3422278337. The cubic root of 80449100 is about 431.6917310935.

The spelling of 80449100 in words is "eighty million, four hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 425 629 740 850 925 1258 1279 1700 1850 2516 2558 3145 3700 5116 6290 6395 12580 12790 15725 21743 25580 31450 31975 43486 47323 62900 63950 86972 94646 108715 127900 189292 217430 236615 434860 473230 543575 804491 946460 1087150 1183075 1608982 2174300 2366150 3217964 4022455 4732300 8044910 16089820 20112275 40224550 80449100