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428077 = 13217149
BaseRepresentation
bin1101000100000101101
3210202012201
41220200231
5102144302
613101501
73432016
oct1504055
9722181
10428077
11272691
12187891
1311cb00
14b200d
1586c87
hex6882d

428077 has 12 divisors (see below), whose sum is σ = 494100. Its totient is φ = 369408.

The previous prime is 428047. The next prime is 428083. The reversal of 428077 is 770824.

It can be written as a sum of positive squares in 6 ways, for example, as 84681 + 343396 = 291^2 + 586^2 .

It is not a de Polignac number, because 428077 - 27 = 427949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2799 + ... + 2947.

It is an arithmetic number, because the mean of its divisors is an integer number (41175).

2428077 is an apocalyptic number.

It is an amenable number.

428077 is a deficient number, since it is larger than the sum of its proper divisors (66023).

428077 is a wasteful number, since it uses less digits than its factorization.

428077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 428077 is about 654.2759356724. The cubic root of 428077 is about 75.3657394885.

The spelling of 428077 in words is "four hundred twenty-eight thousand, seventy-seven".

Divisors: 1 13 17 149 169 221 1937 2533 2873 25181 32929 428077