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76066656 = 2534318427
BaseRepresentation
bin1001000100010…
…10111101100000
312022010120211120
410202022331200
5123433113111
611314212240
71612361451
oct442127540
9168116746
1076066656
1139a35006
1221584080
13129b3c73
14a161128
156a28406
hex488af60

76066656 has 48 divisors (see below), whose sum is σ = 204329664. Its totient is φ = 24764544.

The previous prime is 76066649. The next prime is 76066667. The reversal of 76066656 is 65666067.

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

It is a super-2 number, since 2×760666562 = 11572272310044672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5086 + ... + 13341.

It is an arithmetic number, because the mean of its divisors is an integer number (4256868).

Almost surely, 276066656 is an apocalyptic number.

It is an amenable number.

76066656 is an abundant number, since it is smaller than the sum of its proper divisors (128263008).

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

76066656 is a wasteful number, since it uses less digits than its factorization.

76066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483 (or 18475 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 76066656 is about 8721.6200329985. The cubic root of 76066656 is about 423.7061569140.

The spelling of 76066656 in words is "seventy-six million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 18427 36854 55281 73708 110562 147416 221124 294832 442248 589664 792361 884496 1584722 1768992 2377083 3169444 4754166 6338888 9508332 12677776 19016664 25355552 38033328 76066656