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80432768 = 271348337
BaseRepresentation
bin1001100101101…
…00111010000000
312121100102000102
410302310322000
5131042322033
611551541532
71664444603
oct462647200
9177312012
1080432768
1141447369
1222b2a8a8
1313882370
14a97a33a
1570dbde8
hex4cb4e80

80432768 has 32 divisors (see below), whose sum is σ = 172566660. Its totient is φ = 37122048.

The previous prime is 80432761. The next prime is 80432791. The reversal of 80432768 is 86723408.

It can be written as a sum of positive squares in 2 ways, for example, as 80425024 + 7744 = 8968^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (80432761) 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 3 ways as a sum of consecutive naturals, for example, 22505 + ... + 25832.

Almost surely, 280432768 is an apocalyptic number.

It is an amenable number.

80432768 is an abundant number, since it is smaller than the sum of its proper divisors (92133892).

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

80432768 is a wasteful number, since it uses less digits than its factorization.

80432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48364 (or 48352 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 80432768 is about 8968.4317469667. The cubic root of 80432768 is about 431.6625164866.

The spelling of 80432768 in words is "eighty million, four hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 48337 96674 193348 386696 628381 773392 1256762 1546784 2513524 3093568 5027048 6187136 10054096 20108192 40216384 80432768