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442101426 = 231311350159
BaseRepresentation
bin11010010110011…
…110111010110010
31010210220002010220
4122112132322302
51401134221201
6111511433510
713645541304
oct3226367262
91123802126
10442101426
11207611388
12104085896
13707927a0
1442a03974
1528c2d036
hex1a59eeb2

442101426 has 32 divisors (see below), whose sum is σ = 960664320. Its totient is φ = 134824704.

The previous prime is 442101403. The next prime is 442101427. The reversal of 442101426 is 624101244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442101396 and 442101405.

It is not an unprimeable number, because it can be changed into a prime (442101427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16266 + ... + 33893.

It is an arithmetic number, because the mean of its divisors is an integer number (30020760).

Almost surely, 2442101426 is an apocalyptic number.

442101426 is an abundant number, since it is smaller than the sum of its proper divisors (518562894).

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

442101426 is a wasteful number, since it uses less digits than its factorization.

442101426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50290.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 442101426 is about 21026.2080746862. The cubic root of 442101426 is about 761.7994215839.

The spelling of 442101426 in words is "four hundred forty-two million, one hundred one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 50159 100318 150477 300954 652067 1304134 1956201 3912402 5667967 11335934 17003901 34007802 73683571 147367142 221050713 442101426