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4005220425 = 3521926310687
BaseRepresentation
bin1110111010111010…
…1101000001001001
3101100010112021112020
43232232231001021
531200314023200
61501233435053
7201152545323
oct35656550111
911303467466
104005220425
11177592a428
1293940ba89
134baa2b91b
1429dd12613
15186956ea0
hexeebad049

4005220425 has 48 divisors (see below), whose sum is σ = 6997647360. Its totient is φ = 2015807040.

The previous prime is 4005220397. The next prime is 4005220507. The reversal of 4005220425 is 5240225004.

It is a happy number.

It is not a de Polignac number, because 4005220425 - 214 = 4005204041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4005220395 and 4005220404.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 369432 + ... + 380118.

It is an arithmetic number, because the mean of its divisors is an integer number (145784320).

Almost surely, 24005220425 is an apocalyptic number.

It is an amenable number.

4005220425 is a deficient number, since it is larger than the sum of its proper divisors (2992426935).

4005220425 is a wasteful number, since it uses less digits than its factorization.

4005220425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 4005220425 is about 63286.8108297456. The cubic root of 4005220425 is about 1588.0913274390.

Adding to 4005220425 its reverse (5240225004), we get a palindrome (9245445429).

The spelling of 4005220425 in words is "four billion, five million, two hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 263 285 475 789 1315 1425 3945 4997 6575 10687 14991 19725 24985 32061 53435 74955 124925 160305 203053 267175 374775 609159 801525 1015265 2810681 3045795 5076325 8432043 14053405 15228975 42160215 53402939 70267025 160208817 210801075 267014695 801044085 1335073475 4005220425