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77914141 = 617317497
BaseRepresentation
bin1001010010011…
…10000000011101
312102121110002221
410221032000131
5124421223031
611421545341
71634154634
oct451160035
9172543087
1077914141
113aa87058
1222115251
13131acb56
14a4c251b
156c90a11
hex4a4e01d

77914141 has 8 divisors (see below), whose sum is σ = 80280824. Its totient is φ = 75582720.

The previous prime is 77914093. The next prime is 77914147. The reversal of 77914141 is 14141977.

It can be written as a sum of positive squares in 4 ways, for example, as 4452100 + 73462041 = 2110^2 + 8571^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 10-Lehmer number, since φ(77914141) divides (77914141-1)10.

It is a cyclic number.

It is not a de Polignac number, because 77914141 - 215 = 77881373 is a prime.

It is a super-2 number, since 2×779141412 = 12141226735535762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77914097 and 77914106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77914147) 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 7 ways as a sum of consecutive naturals, for example, 4296 + ... + 13201.

It is an arithmetic number, because the mean of its divisors is an integer number (10035103).

Almost surely, 277914141 is an apocalyptic number.

It is an amenable number.

77914141 is a deficient number, since it is larger than the sum of its proper divisors (2366683).

77914141 is a wasteful number, since it uses less digits than its factorization.

77914141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631.

The product of its digits is 7056, while the sum is 34.

The square root of 77914141 is about 8826.8987192558. The cubic root of 77914141 is about 427.1090387309.

The spelling of 77914141 in words is "seventy-seven million, nine hundred fourteen thousand, one hundred forty-one".

Divisors: 1 61 73 4453 17497 1067317 1277281 77914141