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428004493 = 7233771849
BaseRepresentation
bin11001100000101…
…101010010001101
31002211100212210021
4121200231102031
51334032120433
6110245342141
713414656340
oct3140552215
91084325707
10428004493
111aa663124
12bb407951
136a8981c7
1440bb4457
152789622d
hex1982d48d

428004493 has 16 divisors (see below), whose sum is σ = 524217600. Its totient is φ = 341421696.

The previous prime is 428004463. The next prime is 428004503. The reversal of 428004493 is 394400824.

It is not a de Polignac number, because 428004493 - 217 = 427873421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428004433) 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 15 ways as a sum of consecutive naturals, for example, 29968 + ... + 41881.

It is an arithmetic number, because the mean of its divisors is an integer number (32763600).

Almost surely, 2428004493 is an apocalyptic number.

It is an amenable number.

428004493 is a deficient number, since it is larger than the sum of its proper divisors (96213107).

428004493 is a wasteful number, since it uses less digits than its factorization.

428004493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71916.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 428004493 is about 20688.2694539684. The cubic root of 428004493 is about 753.6148413858.

The spelling of 428004493 in words is "four hundred twenty-eight million, four thousand, four hundred ninety-three".

Divisors: 1 7 23 37 161 259 851 5957 71849 502943 1652527 2658413 11567689 18608891 61143499 428004493