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428045919 = 3722911877
BaseRepresentation
bin11001100000110…
…111011001011111
31002211102222121120
4121200313121133
51334034432134
6110250302023
713415221200
oct3140673137
91084388546
10428045919
111aa691264
12bb427913
136a8b1012
1440bc55a7
15278a3649
hex1983765f

428045919 has 12 divisors (see below), whose sum is σ = 663908184. Its totient is φ = 244597584.

The previous prime is 428045909. The next prime is 428045953. The reversal of 428045919 is 919540824.

It is not a de Polignac number, because 428045919 - 216 = 427980383 is a prime.

It is a super-2 number, since 2×4280459192 = 366446617545109122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428045909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455792 + ... + 1456085.

It is an arithmetic number, because the mean of its divisors is an integer number (55325682).

Almost surely, 2428045919 is an apocalyptic number.

428045919 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

428045919 is a deficient number, since it is larger than the sum of its proper divisors (235862265).

428045919 is a wasteful number, since it uses less digits than its factorization.

428045919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911894 (or 2911887 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 428045919 is about 20689.2706251332. The cubic root of 428045919 is about 753.6391544026.

The spelling of 428045919 in words is "four hundred twenty-eight million, forty-five thousand, nine hundred nineteen".

Divisors: 1 3 7 21 49 147 2911877 8735631 20383139 61149417 142681973 428045919