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80466288 = 2437713373
BaseRepresentation
bin1001100101111…
…01000101110000
312121102002222220
410302331011300
5131044410123
611552401040
71664644410
oct462750560
9177362886
1080466288
114146a571
1222b46180
13138946b6
14a988640
1570e6ce3
hex4cbd170

80466288 has 80 divisors (see below), whose sum is σ = 240984576. Its totient is φ = 22659840.

The previous prime is 80466277. The next prime is 80466289. The reversal of 80466288 is 88266408.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80466289) 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 15 ways as a sum of consecutive naturals, for example, 22170 + ... + 25542.

Almost surely, 280466288 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 80466288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120492288).

80466288 is an abundant number, since it is smaller than the sum of its proper divisors (160518288).

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

80466288 is a wasteful number, since it uses less digits than its factorization.

80466288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 80466288 is about 8970.3003294204. The cubic root of 80466288 is about 431.7224726395.

The spelling of 80466288 in words is "eighty million, four hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3373 3408 3976 5964 6746 7952 10119 11928 13492 20238 23611 23856 26984 40476 47222 53968 70833 80952 94444 141666 161904 188888 239483 283332 377776 478966 566664 718449 957932 1133328 1436898 1676381 1915864 2873796 3352762 3831728 5029143 5747592 6705524 10058286 11495184 13411048 20116572 26822096 40233144 80466288