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76630509 = 3317732287
BaseRepresentation
bin1001001000101…
…00100111101101
312100012020022000
410210110213231
5124104134014
611334242513
71620230364
oct444244755
9170166260
1076630509
113a28a6aa
12217b6439
1312b507c7
14a26a7db
156ada509
hex49149ed

76630509 has 32 divisors (see below), whose sum is σ = 121904640. Its totient is φ = 47402496.

The previous prime is 76630501. The next prime is 76630559. The reversal of 76630509 is 90503667.

It is a happy number.

It is not a de Polignac number, because 76630509 - 23 = 76630501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76630501) 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 31 ways as a sum of consecutive naturals, for example, 32364 + ... + 34650.

It is an arithmetic number, because the mean of its divisors is an integer number (3809520).

Almost surely, 276630509 is an apocalyptic number.

It is an amenable number.

76630509 is a deficient number, since it is larger than the sum of its proper divisors (45274131).

76630509 is a wasteful number, since it uses less digits than its factorization.

76630509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 76630509 is about 8753.8853659389. The cubic root of 76630509 is about 424.7505045432.

The spelling of 76630509 in words is "seventy-six million, six hundred thirty thousand, five hundred nine".

Divisors: 1 3 9 17 27 51 73 153 219 459 657 1241 1971 2287 3723 6861 11169 20583 33507 38879 61749 116637 166951 349911 500853 1049733 1502559 2838167 4507677 8514501 25543503 76630509