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428505 = 35721153
BaseRepresentation
bin1101000100111011001
3210202210120
41220213121
5102203010
613103453
73433200
oct1504731
9722716
10428505
11272a40
12187b89
1312006c
14b2237
1586e70
hex689d9

428505 has 48 divisors (see below), whose sum is σ = 886464. Its totient is φ = 174720.

The previous prime is 428503. The next prime is 428509. The reversal of 428505 is 505824.

It is not a de Polignac number, because 428505 - 21 = 428503 is a prime.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428505.

It is not an unprimeable number, because it can be changed into a prime (428503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8059 + ... + 8111.

It is an arithmetic number, because the mean of its divisors is an integer number (18468).

2428505 is an apocalyptic number.

It is an amenable number.

428505 is an abundant number, since it is smaller than the sum of its proper divisors (457959).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428505 is a wasteful number, since it uses less digits than its factorization.

428505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 428505 is about 654.6029330823. The cubic root of 428505 is about 75.3908485165.

The spelling of 428505 in words is "four hundred twenty-eight thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 53 55 77 105 147 159 165 231 245 265 371 385 539 583 735 795 1113 1155 1617 1749 1855 2597 2695 2915 4081 5565 7791 8085 8745 12243 12985 20405 28567 38955 61215 85701 142835 428505