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76768308 = 22325214093
BaseRepresentation
bin1001001001101…
…10010000110100
312100110020022200
410210312100310
5124123041213
611341224500
71621343211
oct444662064
9170406280
1076768308
113a374191
1221862130
1312b9b446
14a2a4b08
156b16273
hex4936434

76768308 has 36 divisors (see below), whose sum is σ = 194473188. Its totient is φ = 25534080.

The previous prime is 76768297. The next prime is 76768309. The reversal of 76768308 is 80386767.

It can be written as a sum of positive squares in 2 ways, for example, as 26811684 + 49956624 = 5178^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×767683082 = 11786746226365728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76768309) 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 11 ways as a sum of consecutive naturals, for example, 16710 + ... + 20802.

It is an arithmetic number, because the mean of its divisors is an integer number (5402033).

Almost surely, 276768308 is an apocalyptic number.

It is an amenable number.

76768308 is an abundant number, since it is smaller than the sum of its proper divisors (117704880).

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

76768308 is a wasteful number, since it uses less digits than its factorization.

76768308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76768308 is about 8761.7525644131. The cubic root of 76768308 is about 425.0049512687.

The spelling of 76768308 in words is "seventy-six million, seven hundred sixty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4093 4689 6252 8186 9378 12279 16372 18756 24558 36837 49116 73674 147348 2132453 4264906 6397359 8529812 12794718 19192077 25589436 38384154 76768308