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424057 = 3773157
BaseRepresentation
bin1100111100001111001
3210112200211
41213201321
5102032212
613031121
73414214
oct1474171
9715624
10424057
1126a667
121854a1
1311b02a
14b077b
15859a7
hex67879

424057 has 8 divisors (see below), whose sum is σ = 444296. Its totient is φ = 404352.

The previous prime is 424037. The next prime is 424079. The reversal of 424057 is 750424.

It can be written as a sum of positive squares in 4 ways, for example, as 114921 + 309136 = 339^2 + 556^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-424057 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424057.

It is not an unprimeable number, because it can be changed into a prime (424007) 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, 2623 + ... + 2779.

It is an arithmetic number, because the mean of its divisors is an integer number (55537).

2424057 is an apocalyptic number.

It is an amenable number.

424057 is a deficient number, since it is larger than the sum of its proper divisors (20239).

424057 is a wasteful number, since it uses less digits than its factorization.

424057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 424057 is about 651.1965909002. The cubic root of 424057 is about 75.1290814161.

It can be divided in two parts, 42405 and 7, that multiplied together give a triangular number (296835 = T770).

The spelling of 424057 in words is "four hundred twenty-four thousand, fifty-seven".

Divisors: 1 37 73 157 2701 5809 11461 424057