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80427816 = 23347217149
BaseRepresentation
bin1001100101100…
…11101100101000
312121100011020000
410302303230220
5131042142231
611551503000
71664424300
oct462635450
9177304200
1080427816
1141443677
1222b27a60
1313880031
14a978600
1570da6e6
hex4cb3b28

80427816 has 240 divisors, whose sum is σ = 279328500. Its totient is φ = 21482496.

The previous prime is 80427769. The next prime is 80427821. The reversal of 80427816 is 61872408.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 396900 = 8946^2 + 630^2 .

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 539710 + ... + 539858.

Almost surely, 280427816 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 80427816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664250).

80427816 is an abundant number, since it is smaller than the sum of its proper divisors (198900684).

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

80427816 is a wasteful number, since it uses less digits than its factorization.

80427816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 80427816 is about 8968.1556632342. The cubic root of 80427816 is about 431.6536575903.

The spelling of 80427816 in words is "eighty million, four hundred twenty-seven thousand, eight hundred sixteen".