Search a number
-
+
428275 = 5237463
BaseRepresentation
bin1101000100011110011
3210202111001
41220203303
5102201100
613102431
73432421
oct1504363
9722431
10428275
11272851
12187a17
1311cc23
14b2111
1586d6a
hex688f3

428275 has 12 divisors (see below), whose sum is σ = 546592. Its totient is φ = 332640.

The previous prime is 428273. The next prime is 428297. The reversal of 428275 is 572824.

428275 is a nontrivial binomial coefficient, being equal to C(926, 2).

It is not a de Polignac number, because 428275 - 21 = 428273 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

428275 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (428273) 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, 694 + ... + 1156.

2428275 is an apocalyptic number.

428275 is the 925-th triangular number and also the 463-rd hexagonal number.

428275 is the 309-th centered nonagonal number.

428275 is a deficient number, since it is larger than the sum of its proper divisors (118317).

428275 is a wasteful number, since it uses less digits than its factorization.

428275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 505 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 428275 is about 654.4272304848. The cubic root of 428275 is about 75.3773574266.

It can be divided in two parts, 428 and 275, that added together give a triangular number (703 = T37).

The spelling of 428275 in words is "four hundred twenty-eight thousand, two hundred seventy-five".

Divisors: 1 5 25 37 185 463 925 2315 11575 17131 85655 428275