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442123332 = 22377372101
BaseRepresentation
bin11010010110100…
…100010001000100
31010210221012012020
4122112210101010
51401140421312
6111512123140
713645662210
oct3226442104
91123835166
10442123332
11207626892
121040964b0
137079c751
1442a0b940
1528c3478c
hex1a5a4444

442123332 has 48 divisors (see below), whose sum is σ = 1195162752. Its totient is φ = 124588800.

The previous prime is 442123307. The next prime is 442123343. The reversal of 442123332 is 233321244.

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

It is an unprimeable number.

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, 29919 + ... + 42182.

It is an arithmetic number, because the mean of its divisors is an integer number (24899224).

Almost surely, 2442123332 is an apocalyptic number.

442123332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442123332 is an abundant number, since it is smaller than the sum of its proper divisors (753039420).

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

442123332 is a wasteful number, since it uses less digits than its factorization.

442123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72188 (or 72186 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 442123332 is about 21026.7289895504. The cubic root of 442123332 is about 761.8120036910.

Adding to 442123332 its reverse (233321244), we get a palindrome (675444576).

The spelling of 442123332 in words is "four hundred forty-two million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 72101 144202 216303 288404 432606 504707 865212 1009414 1514121 2018828 3028242 5263373 6056484 10526746 15790119 21053492 31580238 36843611 63160476 73687222 110530833 147374444 221061666 442123332