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76365016 = 2371328069
BaseRepresentation
bin1001000110100…
…11110011011000
312022200202002221
410203103303120
5124022140031
611324433424
71615043350
oct443236330
9168622087
1076365016
113a119192
12216a8874
1312a89a00
14a1dbb60
156a86a11
hex48d3cd8

76365016 has 48 divisors (see below), whose sum is σ = 177217200. Its totient is φ = 30206592.

The previous prime is 76365013. The next prime is 76365017. The reversal of 76365016 is 61056367.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76365013) 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 11 ways as a sum of consecutive naturals, for example, 5430 + ... + 13498.

It is an arithmetic number, because the mean of its divisors is an integer number (3692025).

Almost surely, 276365016 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 76365016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88608600).

76365016 is an abundant number, since it is smaller than the sum of its proper divisors (100852184).

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

76365016 is a wasteful number, since it uses less digits than its factorization.

76365016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 76365016 is about 8738.7079136449. The cubic root of 76365016 is about 424.2594087197.

The spelling of 76365016 in words is "seventy-six million, three hundred sixty-five thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 8069 9464 16138 32276 56483 64552 104897 112966 209794 225932 419588 451864 734279 839176 1363661 1468558 2727322 2937116 5454644 5874232 9545627 10909288 19091254 38182508 76365016