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76739013 = 321333881
BaseRepresentation
bin1001001001011…
…11000111000101
312100101202010200
410210233013011
5124121122023
611340441113
71621161621
oct444570705
9170352120
1076739013
113a35417a
1221849199
1312b8b000
14a298181
156b0c743
hex492f1c5

76739013 has 24 divisors (see below), whose sum is σ = 120109080. Its totient is φ = 47211840.

The previous prime is 76738993. The next prime is 76739021. The reversal of 76739013 is 31093767.

It can be written as a sum of positive squares in 4 ways, for example, as 18948609 + 57790404 = 4353^2 + 7602^2 .

It is not a de Polignac number, because 76739013 - 213 = 76730821 is a prime.

It is a super-2 number, since 2×767390132 = 11777752232428338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76739213) 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, 17833 + ... + 21713.

It is an arithmetic number, because the mean of its divisors is an integer number (5004545).

Almost surely, 276739013 is an apocalyptic number.

It is an amenable number.

76739013 is a deficient number, since it is larger than the sum of its proper divisors (43370067).

76739013 is a wasteful number, since it uses less digits than its factorization.

76739013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 76739013 is about 8760.0806503137. The cubic root of 76739013 is about 424.9508833666.

The spelling of 76739013 in words is "seventy-six million, seven hundred thirty-nine thousand, thirteen".

Divisors: 1 3 9 13 39 117 169 507 1521 2197 3881 6591 11643 19773 34929 50453 151359 454077 655889 1967667 5903001 8526557 25579671 76739013