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80823580 = 22529331421
BaseRepresentation
bin1001101000101…
…00010100011100
312122002021002221
410310110110130
5131142323310
612004155124
72000663155
oct464242434
9178067087
1080823580
1141693a52
1223098aa4
131398b206
14aa3c92c
157167ada
hex4d1451c

80823580 has 48 divisors (see below), whose sum is σ = 176531040. Its totient is φ = 31046400.

The previous prime is 80823571. The next prime is 80823581. The reversal of 80823580 is 8532808.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80823581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 191770 + ... + 192190.

It is an arithmetic number, because the mean of its divisors is an integer number (3677730).

Almost surely, 280823580 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 80823580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88265520).

80823580 is an abundant number, since it is smaller than the sum of its proper divisors (95707460).

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

80823580 is a wasteful number, since it uses less digits than its factorization.

80823580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 80823580 is about 8990.1935463037. The cubic root of 80823580 is about 432.3605172406.

The spelling of 80823580 in words is "eighty million, eight hundred twenty-three thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 331 421 580 662 842 1324 1655 1684 2105 3310 4210 6620 8420 9599 12209 19198 24418 38396 47995 48836 61045 95990 122090 139351 191980 244180 278702 557404 696755 1393510 2787020 4041179 8082358 16164716 20205895 40411790 80823580