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442145044 = 2211171135231
BaseRepresentation
bin11010010110101…
…001100100010100
31010210222021222101
4122112221210110
51401142120134
6111512411444
713646112415
oct3226514424
91123867871
10442145044
11207641130
121040a6b84
13707a95b3
1442a1580c
1528c3ae14
hex1a5a9914

442145044 has 48 divisors (see below), whose sum is σ = 901829376. Its totient is φ = 187443200.

The previous prime is 442145021. The next prime is 442145059. The reversal of 442145044 is 440541244.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81909 + ... + 87139.

It is an arithmetic number, because the mean of its divisors is an integer number (18788112).

Almost surely, 2442145044 is an apocalyptic number.

442145044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442145044 is an abundant number, since it is smaller than the sum of its proper divisors (459684332).

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

442145044 is a wasteful number, since it uses less digits than its factorization.

442145044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 442145044 is about 21027.2452784477. The cubic root of 442145044 is about 761.8244739606.

Adding to 442145044 its reverse (440541244), we get a palindrome (882686288).

The spelling of 442145044 in words is "four hundred forty-two million, one hundred forty-five thousand, forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 113 187 226 374 452 748 1243 1921 2486 3842 4972 5231 7684 10462 20924 21131 42262 57541 84524 88927 115082 177854 230164 355708 591103 978197 1182206 1956394 2364412 3912788 6502133 10048751 13004266 20097502 26008532 40195004 110536261 221072522 442145044