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76628608 = 27785523
BaseRepresentation
bin1001001000101…
…00001010000000
312100012010200121
410210110022000
5124104103413
611334230024
71620222010
oct444241200
9170163617
1076628608
113a289231
12217b5314
1312b4c994
14a269c40
156ad9b8d
hex4914280

76628608 has 32 divisors (see below), whose sum is σ = 174468960. Its totient is φ = 32840448.

The previous prime is 76628597. The next prime is 76628609. The reversal of 76628608 is 80682667.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (76628609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41866 + ... + 43657.

It is an arithmetic number, because the mean of its divisors is an integer number (5452155).

Almost surely, 276628608 is an apocalyptic number.

It is an amenable number.

76628608 is an abundant number, since it is smaller than the sum of its proper divisors (97840352).

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

76628608 is an equidigital number, since it uses as much as digits as its factorization.

76628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85544 (or 85532 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 76628608 is about 8753.7767849083. The cubic root of 76628608 is about 424.7469922024.

The spelling of 76628608 in words is "seventy-six million, six hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 85523 171046 342092 598661 684184 1197322 1368368 2394644 2736736 4789288 5473472 9578576 10946944 19157152 38314304 76628608