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444005420 = 225157141403
BaseRepresentation
bin11010011101101…
…111110000101100
31010221110210221012
4122131233300230
51402131133140
6112020324352
714000661305
oct3235576054
91127423835
10444005420
112086a1931
121048436b8
1370cab301
1442d7b7ac
1528ea7265
hex1a76fc2c

444005420 has 24 divisors (see below), whose sum is σ = 938356944. Its totient is φ = 176469696.

The previous prime is 444005413. The next prime is 444005431. The reversal of 444005420 is 24500444.

444005420 is a modest number, since divided by 5420 gives 4440 as remainder.

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 7 ways as a sum of consecutive naturals, for example, 67562 + ... + 73841.

It is an arithmetic number, because the mean of its divisors is an integer number (39098206).

Almost surely, 2444005420 is an apocalyptic number.

It is an amenable number.

444005420 is an abundant number, since it is smaller than the sum of its proper divisors (494351524).

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

444005420 is a wasteful number, since it uses less digits than its factorization.

444005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141569 (or 141567 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 444005420 is about 21071.4361162214. The cubic root of 444005420 is about 762.8914668181.

Adding to 444005420 its reverse (24500444), we get a palindrome (468505864).

The spelling of 444005420 in words is "four hundred forty-four million, five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 141403 282806 565612 707015 1414030 2828060 22200271 44400542 88801084 111001355 222002710 444005420