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80276040 = 2332513171009
BaseRepresentation
bin1001100100011…
…10101001001000
312121001110000200
410302032221020
5131022313130
611544332200
71663222635
oct462165110
9177043020
1080276040
114134a639
1222a74060
1313828c20
14a93918c
1570aa760
hex4c8ea48

80276040 has 192 divisors, whose sum is σ = 297788400. Its totient is φ = 18579456.

The previous prime is 80276039. The next prime is 80276059. The reversal of 80276040 is 4067208.

It can be written as a sum of positive squares in 8 ways, for example, as 23213124 + 57062916 = 4818^2 + 7554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80275995 and 80276013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 79056 + ... + 80064.

Almost surely, 280276040 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 80276040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148894200).

80276040 is an abundant number, since it is smaller than the sum of its proper divisors (217512360).

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

80276040 is a wasteful number, since it uses less digits than its factorization.

80276040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80276040 is about 8959.6897267707. The cubic root of 80276040 is about 431.3819608766.

The spelling of 80276040 in words is "eighty million, two hundred seventy-six thousand, forty".