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4442430420 = 223452742241
BaseRepresentation
bin1000010001100101…
…00001101111010100
3102110121012211220000
410020302201233110
533044230233140
62012452411300
7215042015121
oct41062415724
912417184800
104442430420
11197a6aa7aa
12a3b916b30
1355a49ab6c
14302001748
151b001aa30
hex108ca1bd4

4442430420 has 60 divisors (see below), whose sum is σ = 13936073844. Its totient is φ = 1184647680.

The previous prime is 4442430389. The next prime is 4442430431. The reversal of 4442430420 is 240342444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2015291664 + 2427138756 = 44892^2 + 49266^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1369501 + ... + 1372740.

Almost surely, 24442430420 is an apocalyptic number.

It is an amenable number.

4442430420 is an abundant number, since it is smaller than the sum of its proper divisors (9493643424).

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

4442430420 is a wasteful number, since it uses less digits than its factorization.

4442430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742262 (or 2742251 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4442430420 is about 66651.5597716963. The cubic root of 4442430420 is about 1643.8929947936.

Adding to 4442430420 its reverse (240342444), we get a palindrome (4682772864).

The spelling of 4442430420 in words is "four billion, four hundred forty-two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2742241 5484482 8226723 10968964 13711205 16453446 24680169 27422410 32906892 41133615 49360338 54844820 74040507 82267230 98720676 123400845 148081014 164534460 222121521 246801690 296162028 370202535 444243042 493603380 740405070 888486084 1110607605 1480810140 2221215210 4442430420