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442426929 = 37229671549
BaseRepresentation
bin11010010111101…
…110011000110001
31010211111121122120
4122113232120301
51401230130204
6111522424453
713651365300
oct3227563061
91124447576
10442426929
1120781399a
12104202129
13708779a9
1442a8a437
1528c946d9
hex1a5ee631

442426929 has 48 divisors (see below), whose sum is σ = 720936000. Its totient is φ = 240299136.

The previous prime is 442426891. The next prime is 442426937. The reversal of 442426929 is 929624244.

It is not a de Polignac number, because 442426929 - 29 = 442426417 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442426969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284847 + ... + 286395.

It is an arithmetic number, because the mean of its divisors is an integer number (15019500).

Almost surely, 2442426929 is an apocalyptic number.

442426929 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

442426929 is a deficient number, since it is larger than the sum of its proper divisors (278509071).

442426929 is a wasteful number, since it uses less digits than its factorization.

442426929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1655 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 442426929 is about 21033.9470618332. The cubic root of 442426929 is about 761.9863373388.

The spelling of 442426929 in words is "four hundred forty-two million, four hundred twenty-six thousand, nine hundred twenty-nine".

Divisors: 1 3 7 21 29 49 67 87 147 201 203 469 609 1407 1421 1549 1943 3283 4263 4647 5829 9849 10843 13601 32529 40803 44921 75901 95207 103783 134763 227703 285621 311349 314447 726481 943341 2179443 2201129 3009707 5085367 6603387 9029121 15256101 21067949 63203847 147475643 442426929