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77744141 = 372109521
BaseRepresentation
bin1001010001001…
…00100000001101
312102021210220122
410220210200031
5124400303031
611414154325
71632546206
oct450444015
9172253818
1077744141
113a980362
12220529a5
1313150667
14a47a5ad
156c5a47b
hex4a2480d

77744141 has 12 divisors (see below), whose sum is σ = 80789940. Its totient is φ = 74805120.

The previous prime is 77744089. The next prime is 77744153. The reversal of 77744141 is 14144777.

It can be written as a sum of positive squares in 6 ways, for example, as 14478025 + 63266116 = 3805^2 + 7954^2 .

It is a de Polignac number, because none of the positive numbers 2k-77744141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77744171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148961 + ... + 149481.

It is an arithmetic number, because the mean of its divisors is an integer number (6732495).

Almost surely, 277744141 is an apocalyptic number.

It is an amenable number.

77744141 is a deficient number, since it is larger than the sum of its proper divisors (3045799).

77744141 is a wasteful number, since it uses less digits than its factorization.

77744141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 667 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 77744141 is about 8817.2638046051. The cubic root of 77744141 is about 426.7981777085.

The spelling of 77744141 in words is "seventy-seven million, seven hundred forty-four thousand, one hundred forty-one".

Divisors: 1 37 109 521 1369 4033 19277 56789 149221 713249 2101193 77744141