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428766075 = 33527972
BaseRepresentation
bin11001100011100…
…111001101111011
31002212210120111000
4121203213031323
51334231003300
6110313540043
713424310603
oct3143471573
91085716430
10428766075
11200033331
12bb714623
136aaa3a4a
1440d31c03
1527996c00
hex198e737b

428766075 has 36 divisors (see below), whose sum is σ = 788648680. Its totient is φ = 228388320.

The previous prime is 428766071. The next prime is 428766167. The reversal of 428766075 is 570667824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 428766075 - 22 = 428766071 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 428766075.

It is not an unprimeable number, because it can be changed into a prime (428766071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537577 + ... + 538373.

Almost surely, 2428766075 is an apocalyptic number.

428766075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428766075 is a deficient number, since it is larger than the sum of its proper divisors (359882605).

428766075 is an frugal number, since it uses more digits than its factorization.

428766075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 428766075 is about 20706.6674044859. The cubic root of 428766075 is about 754.0615652132.

The spelling of 428766075 in words is "four hundred twenty-eight million, seven hundred sixty-six thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 797 2391 3985 7173 11955 19925 21519 35865 59775 107595 179325 537975 635209 1905627 3176045 5716881 9528135 15880225 17150643 28584405 47640675 85753215 142922025 428766075