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76768083 = 3276411901
BaseRepresentation
bin1001001001101…
…10001101010011
312100110020000100
410210312031103
5124123034313
611341223443
71621342440
oct444661523
9170406010
1076768083
113a373aa7
1221861b83
1312b9b302
14a2a49c7
156b16173
hex4936353

76768083 has 24 divisors (see below), whose sum is σ = 126992736. Its totient is φ = 43776000.

The previous prime is 76768079. The next prime is 76768093. The reversal of 76768083 is 38086767.

It is not a de Polignac number, because 76768083 - 22 = 76768079 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76768033) 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 23 ways as a sum of consecutive naturals, for example, 39433 + ... + 41333.

It is an arithmetic number, because the mean of its divisors is an integer number (5291364).

Almost surely, 276768083 is an apocalyptic number.

76768083 is a deficient number, since it is larger than the sum of its proper divisors (50224653).

76768083 is a wasteful number, since it uses less digits than its factorization.

76768083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76768083 is about 8761.7397245068. The cubic root of 76768083 is about 425.0045360531.

The spelling of 76768083 in words is "seventy-six million, seven hundred sixty-eight thousand, eighty-three".

Divisors: 1 3 7 9 21 63 641 1901 1923 4487 5703 5769 13307 13461 17109 39921 40383 119763 1218541 3655623 8529787 10966869 25589361 76768083