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4219425 = 335271947
BaseRepresentation
bin10000000110001000100001
321221100222000
4100012020201
52040010200
6230234213
750602350
oct20061041
97840860
104219425
112422131
1214b5969
13b49702
147bb997
15585300
hex406221

4219425 has 96 divisors (see below), whose sum is σ = 9523200. Its totient is φ = 1788480.

The previous prime is 4219363. The next prime is 4219427. The reversal of 4219425 is 5249124.

It is not a de Polignac number, because 4219425 - 26 = 4219361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 47 + 2 + 1 + 94 + 411 + 211 + 53 .

4219425 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4219427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89752 + ... + 89798.

It is an arithmetic number, because the mean of its divisors is an integer number (99200).

Almost surely, 24219425 is an apocalyptic number.

4219425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4219425 is an abundant number, since it is smaller than the sum of its proper divisors (5303775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4219425 is a wasteful number, since it uses less digits than its factorization.

4219425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4219425 is about 2054.1239008395. The cubic root of 4219425 is about 161.5912190316.

The spelling of 4219425 in words is "four million, two hundred nineteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 47 57 63 75 95 105 133 135 141 171 175 189 225 235 285 315 329 399 423 475 513 525 665 675 705 855 893 945 987 1175 1197 1269 1425 1575 1645 1995 2115 2565 2679 2961 3325 3525 3591 4275 4465 4725 4935 5985 6251 6345 8037 8225 8883 9975 10575 12825 13395 14805 17955 18753 22325 24111 24675 29925 31255 31725 40185 44415 56259 66975 74025 89775 93765 120555 156275 168777 200925 222075 281295 468825 602775 843885 1406475 4219425