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76660512 = 2537310939
BaseRepresentation
bin1001001000110…
…11111100100000
312100020202110020
410210123330200
5124111114022
611335033440
71620414015
oct444337440
9170222406
1076660512
113a3001a5
122180b880
1312b61366
14a27770c
156ae435c
hex491bf20

76660512 has 48 divisors (see below), whose sum is σ = 204009120. Its totient is φ = 25201152.

The previous prime is 76660477. The next prime is 76660517. The reversal of 76660512 is 21506667.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×766605123 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76660517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539 + ... + 12477.

It is an arithmetic number, because the mean of its divisors is an integer number (4250190).

Almost surely, 276660512 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 76660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102004560).

76660512 is an abundant number, since it is smaller than the sum of its proper divisors (127348608).

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

76660512 is a wasteful number, since it uses less digits than its factorization.

76660512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 76660512 is about 8755.5988944218. The cubic root of 76660512 is about 424.8059312339.

The spelling of 76660512 in words is "seventy-six million, six hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 10939 21878 32817 43756 65634 87512 131268 175024 262536 350048 525072 798547 1050144 1597094 2395641 3194188 4791282 6388376 9582564 12776752 19165128 25553504 38330256 76660512