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80454300 = 223523141211
BaseRepresentation
bin1001100101110…
…10001010011100
312121101111112220
410302322022130
5131044014200
611552225340
71664564433
oct462721234
9177344486
1080454300
1141461563
1222b3b250
131388c0c4
14a98411a
1570e34a0
hex4cba29c

80454300 has 144 divisors (see below), whose sum is σ = 247317504. Its totient is φ = 20160000.

The previous prime is 80454287. The next prime is 80454301. The reversal of 80454300 is 345408.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80454301) 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 47 ways as a sum of consecutive naturals, for example, 381195 + ... + 381405.

Almost surely, 280454300 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 80454300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123658752).

80454300 is an abundant number, since it is smaller than the sum of its proper divisors (166863204).

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

80454300 is a wasteful number, since it uses less digits than its factorization.

80454300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 80454300 is about 8969.6320994788. The cubic root of 80454300 is about 431.7010319999.

Adding to 80454300 its reverse (345408), we get a palindrome (80799708).

The spelling of 80454300 in words is "eighty million, four hundred fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 123 124 150 155 164 186 205 211 246 300 310 372 410 422 465 492 615 620 633 775 820 844 930 1025 1055 1230 1266 1271 1550 1860 2050 2110 2325 2460 2532 2542 3075 3100 3165 3813 4100 4220 4650 5084 5275 6150 6330 6355 6541 7626 8651 9300 10550 12300 12660 12710 13082 15252 15825 17302 19065 19623 21100 25420 25953 26164 31650 31775 32705 34604 38130 39246 43255 51906 63300 63550 65410 76260 78492 86510 95325 98115 103812 127100 129765 130820 163525 173020 190650 196230 216275 259530 268181 327050 381300 392460 432550 490575 519060 536362 648825 654100 804543 865100 981150 1072724 1297650 1340905 1609086 1962300 2595300 2681810 3218172 4022715 5363620 6704525 8045430 13409050 16090860 20113575 26818100 40227150 80454300