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428737 = 4110457
BaseRepresentation
bin1101000101011000001
3210210010011
41220223001
5102204422
613104521
73433651
oct1505301
9723104
10428737
11273131
12188141
131201ba
14b2361
1587077
hex68ac1

428737 has 4 divisors (see below), whose sum is σ = 439236. Its totient is φ = 418240.

The previous prime is 428731. The next prime is 428741. The reversal of 428737 is 737824.

428737 = 214 + 224.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 234256 = 441^2 + 484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-428737 is a prime.

It is a d-powerful number, because it can be written as 49 + 217 + 73 + 85 + 32 + 74 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428699 and 428708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428737.

It is not an unprimeable number, because it can be changed into a prime (428731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5188 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (109809).

2428737 is an apocalyptic number.

It is an amenable number.

428737 is a deficient number, since it is larger than the sum of its proper divisors (10499).

428737 is a wasteful number, since it uses less digits than its factorization.

428737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498.

The product of its digits is 9408, while the sum is 31.

The square root of 428737 is about 654.7801157641. The cubic root of 428737 is about 75.4044520305.

The spelling of 428737 in words is "four hundred twenty-eight thousand, seven hundred thirty-seven".

Divisors: 1 41 10457 428737