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80143488 = 273273953
BaseRepresentation
bin1001100011011…
…10010010000000
312120210201012100
410301232102000
5131004042423
611541430400
71662131325
oct461562200
9176721170
1080143488
1141269a97
1222a0b400
13137b07a9
14a902b4c
157081343
hex4c6e480

80143488 has 96 divisors (see below), whose sum is σ = 234025740. Its totient is φ = 26320896.

The previous prime is 80143487. The next prime is 80143499. The reversal of 80143488 is 88434108.

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 5184 = 8952^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×801434882 = 12845957337612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80143487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83620 + ... + 84572.

Almost surely, 280143488 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 80143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117012870).

80143488 is an abundant number, since it is smaller than the sum of its proper divisors (153882252).

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

80143488 is a wasteful number, since it uses less digits than its factorization.

80143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 80143488 is about 8952.2895395536. The cubic root of 80143488 is about 431.1443970788.

The spelling of 80143488 in words is "eighty million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 953 1152 1168 1314 1752 1906 2336 2628 2859 3504 3812 4672 5256 5718 7008 7624 8577 9344 10512 11436 14016 15248 17154 21024 22872 28032 30496 34308 42048 45744 60992 68616 69569 84096 91488 121984 137232 139138 182976 208707 274464 278276 365952 417414 548928 556552 626121 834828 1097856 1113104 1252242 1669656 2226208 2504484 3339312 4452416 5008968 6678624 8904832 10017936 13357248 20035872 26714496 40071744 80143488