Search a number
-
+
77676128 = 2517142787
BaseRepresentation
bin1001010000100…
…11111001100000
312102011100121122
410220103321200
5124341114003
611412511412
71632144005
oct450237140
9172140548
1077676128
113a934252
122201b568
131312870a
14a45d8ac
156c45238
hex4a13e60

77676128 has 24 divisors (see below), whose sum is σ = 161921592. Its totient is φ = 36553216.

The previous prime is 77676127. The next prime is 77676139. The reversal of 77676128 is 82167677.

It is a super-2 number, since 2×776761282 = 12067161722144768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77676127) 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 3 ways as a sum of consecutive naturals, for example, 70850 + ... + 71937.

It is an arithmetic number, because the mean of its divisors is an integer number (6746733).

Almost surely, 277676128 is an apocalyptic number.

It is an amenable number.

77676128 is an abundant number, since it is smaller than the sum of its proper divisors (84245464).

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

77676128 is a wasteful number, since it uses less digits than its factorization.

77676128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142814 (or 142806 counting only the distinct ones).

The product of its digits is 197568, while the sum is 44.

The square root of 77676128 is about 8813.4061519937. The cubic root of 77676128 is about 426.6736826103.

The spelling of 77676128 in words is "seventy-seven million, six hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 142787 285574 571148 1142296 2284592 2427379 4569184 4854758 9709516 19419032 38838064 77676128