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443426124 = 2232989103139
BaseRepresentation
bin11010011011100…
…010010101001100
31010220101101021210
4122123202111030
51402004113444
6112000054420
713663026351
oct3233422514
91126341253
10443426124
11208336679
12104604410
1370b3772b
1442c6a628
1528de07b9
hex1a6e254c

443426124 has 96 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 138733056.

The previous prime is 443426117. The next prime is 443426183. The reversal of 443426124 is 421624344.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 443426091 and 443426100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190047 + ... + 3190185.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2443426124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443426124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

443426124 is an abundant number, since it is smaller than the sum of its proper divisors (657309876).

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

443426124 is a wasteful number, since it uses less digits than its factorization.

443426124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 443426124 is about 21057.6856278177. The cubic root of 443426124 is about 762.5595397026.

The spelling of 443426124 in words is "four hundred forty-three million, four hundred twenty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 89 103 116 139 174 178 206 267 278 309 348 356 412 417 534 556 618 834 1068 1236 1668 2581 2987 4031 5162 5974 7743 8062 8961 9167 10324 11948 12093 12371 14317 15486 16124 17922 18334 24186 24742 27501 28634 30972 35844 36668 37113 42951 48372 49484 55002 57268 74226 85902 110004 148452 171804 265843 358759 415193 531686 717518 797529 830386 1063372 1076277 1245579 1274213 1435036 1595058 1660772 2152554 2491158 2548426 3190116 3822639 4305108 4982316 5096852 7645278 15290556 36952177 73904354 110856531 147808708 221713062 443426124