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445041424 = 24295318097
BaseRepresentation
bin11010100001101…
…100101100010000
31011000102110001201
4122201230230100
51402412311144
6112054440544
714012534602
oct3241545420
91130373051
10445041424
1120923a233
12105063154
1371281a29
144316b172
152910e1d4
hex1a86cb10

445041424 has 40 divisors (see below), whose sum is σ = 908881560. Its totient is φ = 210782208.

The previous prime is 445041409. The next prime is 445041431. The reversal of 445041424 is 424140544.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 403206400 = 6468^2 + 20080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 445041392 and 445041401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15544 + ... + 33640.

It is an arithmetic number, because the mean of its divisors is an integer number (22722039).

Almost surely, 2445041424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454440780).

445041424 is an abundant number, since it is smaller than the sum of its proper divisors (463840136).

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

445041424 is a wasteful number, since it uses less digits than its factorization.

445041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18187 (or 18181 counting only the distinct ones).

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

The square root of 445041424 is about 21096.0049298439. The cubic root of 445041424 is about 763.4843609984.

Adding to 445041424 its reverse (424140544), we get a palindrome (869181968).

The spelling of 445041424 in words is "four hundred forty-five million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 6148 12296 18097 24592 36194 72388 144776 289552 524813 959141 1049626 1918282 2099252 3836564 4198504 7673128 8397008 15346256 27815089 55630178 111260356 222520712 445041424