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442375206 = 237135315287
BaseRepresentation
bin11010010111100…
…001110000100110
31010211101222200220
4122113201300212
51401222001311
6111521345210
713651061430
oct3227416046
91124358626
10442375206
11207789049
12104198206
137085a2a0
1442a75650
1528c84206
hex1a5e1c26

442375206 has 64 divisors (see below), whose sum is σ = 1109541888. Its totient is φ = 114461568.

The previous prime is 442375147. The next prime is 442375217. The reversal of 442375206 is 602573244.

It is a congruent number.

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, 21295 + ... + 36581.

It is an arithmetic number, because the mean of its divisors is an integer number (17336592).

Almost surely, 2442375206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442375206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

442375206 is an abundant number, since it is smaller than the sum of its proper divisors (667166682).

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

442375206 is a wasteful number, since it uses less digits than its factorization.

442375206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365.

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 442375206 is about 21032.7175134361. The cubic root of 442375206 is about 761.9566422241.

The spelling of 442375206 in words is "four hundred forty-two million, three hundred seventy-five thousand, two hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 4134 4823 9646 14469 15287 28938 30574 45861 91722 107009 198731 214018 321027 397462 596193 642054 810211 1192386 1391117 1620422 2430633 2782234 4173351 4861266 5671477 8346702 10532743 11342954 17014431 21065486 31598229 34028862 63196458 73729201 147458402 221187603 442375206