Search a number
-
+
428369175 = 33521348817
BaseRepresentation
bin11001100010000…
…110010100010111
31002212001102001000
4121202012110113
51334130303200
6110301234343
713421035503
oct3142062427
91085042030
10428369175
111aa892113
12bb5629b3
136a9951b0
1440c6b303
1527919300
hex19886517

428369175 has 48 divisors (see below), whose sum is σ = 847480480. Its totient is φ = 210885120.

The previous prime is 428369171. The next prime is 428369177. The reversal of 428369175 is 571963824.

It is not a de Polignac number, because 428369175 - 22 = 428369171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 428369175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428369171) 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 47 ways as a sum of consecutive naturals, for example, 15634 + ... + 33183.

Almost surely, 2428369175 is an apocalyptic number.

428369175 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428369175 is a deficient number, since it is larger than the sum of its proper divisors (419111305).

428369175 is a wasteful number, since it uses less digits than its factorization.

428369175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48849 (or 48838 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 428369175 is about 20697.0813159730. The cubic root of 428369175 is about 753.8288202518.

The spelling of 428369175 in words is "four hundred twenty-eight million, three hundred sixty-nine thousand, one hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 8775 48817 146451 244085 439353 634621 732255 1220425 1318059 1903863 2196765 3173105 3661275 5711589 6590295 9519315 10983825 15865525 17134767 28557945 32951475 47596575 85673835 142789725 428369175