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442003145 = 5176777681
BaseRepresentation
bin11010010110000…
…110111011001001
31010210201002022212
4122112012323021
51401123100040
6111505354505
713644651623
oct3226067311
91123632285
10442003145
11207554561
12104038a35
1370759b2c
14429b9c13
1528c0dd65
hex1a586ec9

442003145 has 16 divisors (see below), whose sum is σ = 562506768. Its totient is φ = 332267520.

The previous prime is 442003141. The next prime is 442003153. The reversal of 442003145 is 541300244.

It can be written as a sum of positive squares in 8 ways, for example, as 114682681 + 327320464 = 10709^2 + 18092^2 .

It is not a de Polignac number, because 442003145 - 22 = 442003141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442003145.

It is not an unprimeable number, because it can be changed into a prime (442003141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53705 + ... + 61385.

It is an arithmetic number, because the mean of its divisors is an integer number (35156673).

Almost surely, 2442003145 is an apocalyptic number.

It is an amenable number.

442003145 is a deficient number, since it is larger than the sum of its proper divisors (120503623).

442003145 is a wasteful number, since it uses less digits than its factorization.

442003145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 442003145 is about 21023.8708376930. The cubic root of 442003145 is about 761.7429669988.

Adding to 442003145 its reverse (541300244), we get a palindrome (983303389).

The spelling of 442003145 in words is "four hundred forty-two million, three thousand, one hundred forty-five".

Divisors: 1 5 17 85 677 3385 7681 11509 38405 57545 130577 652885 5200037 26000185 88400629 442003145