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428526 = 232719179
BaseRepresentation
bin1101000100111101110
3210202211100
41220213232
5102203101
613103530
73433230
oct1504756
9722740
10428526
11272a5a
12187ba6
13120087
14b2250
1586e86
hex689ee

428526 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 115344.

The previous prime is 428509. The next prime is 428531. The reversal of 428526 is 625824.

428526 = T4 + T5 + ... + T136.

428526 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 428526.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2305 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2428526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

428526 is an abundant number, since it is smaller than the sum of its proper divisors (694674).

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

428526 is a wasteful number, since it uses less digits than its factorization.

428526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 428526 is about 654.6189731439. The cubic root of 428526 is about 75.3920800712.

The spelling of 428526 in words is "four hundred twenty-eight thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 179 266 342 358 399 537 798 1074 1197 1253 1611 2394 2506 3222 3401 3759 6802 7518 10203 11277 20406 22554 23807 30609 47614 61218 71421 142842 214263 428526