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448114425 = 352113672
BaseRepresentation
bin11010101101011…
…010111011111001
31011020012120102120
4122231122323321
51404204130200
6112244351453
714050624023
oct3255327371
91136176376
10448114425
1120aa49000
121060a5589
1371ab9685
144372b013
15295199a0
hex1ab5aef9

448114425 has 72 divisors (see below), whose sum is σ = 827259552. Its totient is φ = 214024800.

The previous prime is 448114399. The next prime is 448114529. The reversal of 448114425 is 524411844.

It is not a de Polignac number, because 448114425 - 213 = 448106233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6688242 + ... + 6688308.

It is an arithmetic number, because the mean of its divisors is an integer number (11489716).

Almost surely, 2448114425 is an apocalyptic number.

It is an amenable number.

448114425 is a deficient number, since it is larger than the sum of its proper divisors (379145127).

448114425 is an equidigital number, since it uses as much as digits as its factorization.

448114425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 448114425 is about 21168.7133524926. The cubic root of 448114425 is about 765.2376125487.

Multiplying 448114425 by its sum of digits (33), we get a square (14787776025 = 1216052).

448114425 divided by its sum of digits (33) gives a square (13579225 = 36852).

The spelling of 448114425 in words is "four hundred forty-eight million, one hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 67 75 121 165 201 275 335 363 605 737 825 1005 1331 1675 1815 2211 3025 3685 3993 4489 5025 6655 8107 9075 11055 13467 18425 19965 22445 24321 33275 40535 49379 55275 67335 89177 99825 112225 121605 148137 202675 246895 267531 336675 445885 543169 608025 740685 1234475 1337655 1629507 2229425 2715845 3703425 5974859 6688275 8147535 13579225 17924577 29874295 40737675 89622885 149371475 448114425