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442041432 = 23372990731
BaseRepresentation
bin11010010110010…
…000010001011000
31010210210000211220
4122112100101120
51401130311212
6111510252040
713645201350
oct3226202130
91123700756
10442041432
112075802a8
12104057020
13707713a1
14429c9b60
1528c1a38c
hex1a590458

442041432 has 64 divisors (see below), whose sum is σ = 1306540800. Its totient is φ = 121941120.

The previous prime is 442041401. The next prime is 442041433. The reversal of 442041432 is 234140244.

It is a happy number.

It is a super-2 number, since 2×4420414322 = 390801255209221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442041433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40494 + ... + 50237.

It is an arithmetic number, because the mean of its divisors is an integer number (20414700).

Almost surely, 2442041432 is an apocalyptic number.

442041432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442041432 is an abundant number, since it is smaller than the sum of its proper divisors (864499368).

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

442041432 is a wasteful number, since it uses less digits than its factorization.

442041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90776 (or 90772 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442041432 is about 21024.7813781737. The cubic root of 442041432 is about 761.7649608174.

Adding to 442041432 its reverse (234140244), we get a palindrome (676181676).

The spelling of 442041432 in words is "four hundred forty-two million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 90731 181462 272193 362924 544386 635117 725848 1088772 1270234 1905351 2177544 2540468 2631199 3810702 5080936 5262398 7621404 7893597 10524796 15242808 15787194 18418393 21049592 31574388 36836786 55255179 63148776 73673572 110510358 147347144 221020716 442041432