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80023350 = 23521124409
BaseRepresentation
bin1001100010100…
…00111100110110
312120120121101210
410301100330312
5130441221400
611535102250
71661121141
oct461207466
9176517353
1080023350
1141197800
1222971986
131376abc4
14a8b1058
15705a950
hex4c50f36

80023350 has 72 divisors (see below), whose sum is σ = 218189160. Its totient is φ = 19395200.

The previous prime is 80023343. The next prime is 80023357. The reversal of 80023350 is 5332008.

It is an interprime number because it is at equal distance from previous prime (80023343) and next prime (80023357).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80023357) 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 35 ways as a sum of consecutive naturals, for example, 15946 + ... + 20354.

It is an arithmetic number, because the mean of its divisors is an integer number (3030405).

Almost surely, 280023350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80023350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109094580).

80023350 is an abundant number, since it is smaller than the sum of its proper divisors (138165810).

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

80023350 is a wasteful number, since it uses less digits than its factorization.

80023350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 80023350 is about 8945.5771194485. The cubic root of 80023350 is about 430.9288556367.

Adding to 80023350 its reverse (5332008), we get a palindrome (85355358).

The spelling of 80023350 in words is "eighty million, twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 3025 3630 4409 6050 8818 9075 13227 18150 22045 26454 44090 48499 66135 96998 110225 132270 145497 220450 242495 290994 330675 484990 533489 661350 727485 1066978 1212475 1454970 1600467 2424950 2667445 3200934 3637425 5334890 7274850 8002335 13337225 16004670 26674450 40011675 80023350