Search a number
-
+
428875405 = 57175031433
BaseRepresentation
bin11001100100000…
…001111010001101
31002220000010110021
4121210001322031
51334243003110
6110320142141
713425244420
oct3144017215
91086003407
10428875405
112000a8492
12bb767951
136ab1173a
1440d5d9b7
15279b92da
hex19901e8d

428875405 has 32 divisors (see below), whose sum is σ = 624443904. Its totient is φ = 276043776.

The previous prime is 428875397. The next prime is 428875409. The reversal of 428875405 is 504578824.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 428875405 - 23 = 428875397 is a prime.

It is a super-2 number, since 2×4288754052 = 367868226027828050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428875409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298569 + ... + 300001.

It is an arithmetic number, because the mean of its divisors is an integer number (19513872).

Almost surely, 2428875405 is an apocalyptic number.

It is an amenable number.

428875405 is a deficient number, since it is larger than the sum of its proper divisors (195568499).

428875405 is a wasteful number, since it uses less digits than its factorization.

428875405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965.

The product of its (nonzero) digits is 358400, while the sum is 43.

The square root of 428875405 is about 20709.3072071472. The cubic root of 428875405 is about 754.1256518636.

The spelling of 428875405 in words is "four hundred twenty-eight million, eight hundred seventy-five thousand, four hundred five".

Divisors: 1 5 7 17 35 85 119 503 595 1433 2515 3521 7165 8551 10031 17605 24361 42755 50155 59857 121805 170527 299285 720799 852635 3603995 5045593 12253583 25227965 61267915 85775081 428875405