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477680541 = 31312248219
BaseRepresentation
bin11100011110001…
…101001110011101
31020021211200111220
4130132031032131
51434241234131
6115222203553
714560134432
oct3436151635
91207750456
10477680541
11225702508
12113b835b9
1377c6c010
1447625b89
152be09e96
hex1c78d39d

477680541 has 8 divisors (see below), whose sum is σ = 685900320. Its totient is φ = 293957232.

The previous prime is 477680527. The next prime is 477680549. The reversal of 477680541 is 145086774.

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

It is not a de Polignac number, because 477680541 - 215 = 477647773 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 477680493 and 477680502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477680549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6124071 + ... + 6124148.

It is an arithmetic number, because the mean of its divisors is an integer number (85737540).

Almost surely, 2477680541 is an apocalyptic number.

It is an amenable number.

477680541 is a deficient number, since it is larger than the sum of its proper divisors (208219779).

477680541 is a wasteful number, since it uses less digits than its factorization.

477680541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12248235.

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 477680541 is about 21855.9040307190. The cubic root of 477680541 is about 781.7103281703.

The spelling of 477680541 in words is "four hundred seventy-seven million, six hundred eighty thousand, five hundred forty-one".

Divisors: 1 3 13 39 12248219 36744657 159226847 477680541