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76331269 = 723121621
BaseRepresentation
bin1001000110010…
…11100100000101
312022122000211001
410203023210011
5124020100034
611324013301
71614543100
oct443134405
9168560731
1076331269
113a0a58a3
1221691231
1312a77541
14a1cd737
156a7ba14
hex48cb905

76331269 has 18 divisors (see below), whose sum is σ = 91806822. Its totient is φ = 63277200.

The previous prime is 76331267. The next prime is 76331293. The reversal of 76331269 is 96213367.

It can be written as a sum of positive squares in only one way, i.e., 71622369 + 4708900 = 8463^2 + 2170^2 .

It is not a de Polignac number, because 76331269 - 21 = 76331267 is a prime.

It is a super-2 number, since 2×763312692 = 11652925254300722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76331267) 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 17 ways as a sum of consecutive naturals, for example, 46279 + ... + 47899.

It is an arithmetic number, because the mean of its divisors is an integer number (5100379).

Almost surely, 276331269 is an apocalyptic number.

It is an amenable number.

76331269 is a deficient number, since it is larger than the sum of its proper divisors (15475553).

76331269 is a wasteful number, since it uses less digits than its factorization.

76331269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1659 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 76331269 is about 8736.7768084117. The cubic root of 76331269 is about 424.1969036942.

The spelling of 76331269 in words is "seventy-six million, three hundred thirty-one thousand, two hundred sixty-nine".

Divisors: 1 7 31 49 217 961 1519 1621 6727 11347 47089 50251 79429 351757 1557781 2462299 10904467 76331269