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448056192 = 2732397523
BaseRepresentation
bin11010101101001…
…100101110000000
31011020002121112210
4122231030232000
51404200244232
6112243222120
714050262163
oct3255145600
91136077483
10448056192
1120aa09281
12106077940
1371a9900c
1443713ada
15295075cc
hex1ab4cb80

448056192 has 128 divisors (see below), whose sum is σ = 1257096960. Its totient is φ = 141115392.

The previous prime is 448056149. The next prime is 448056197. The reversal of 448056192 is 291650844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 448056192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448056197) by changing a digit.

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, 856443 + ... + 856965.

It is an arithmetic number, because the mean of its divisors is an integer number (9821070).

Almost surely, 2448056192 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 448056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628548480).

448056192 is an abundant number, since it is smaller than the sum of its proper divisors (809040768).

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

448056192 is a wasteful number, since it uses less digits than its factorization.

448056192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 448056192 is about 21167.3378581247. The cubic root of 448056192 is about 765.2044632682.

The spelling of 448056192 in words is "four hundred forty-eight million, fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 128 138 184 192 194 276 291 368 384 388 523 552 582 736 776 1046 1104 1164 1472 1552 1569 2092 2208 2231 2328 2944 3104 3138 4184 4416 4462 4656 6208 6276 6693 8368 8832 8924 9312 12029 12416 12552 13386 16736 17848 18624 24058 25104 26772 33472 35696 36087 37248 48116 50208 50731 53544 66944 71392 72174 96232 100416 101462 107088 142784 144348 152193 192464 200832 202924 214176 285568 288696 304386 384928 405848 428352 577392 608772 769856 811696 856704 1154784 1166813 1217544 1539712 1623392 2309568 2333626 2435088 3246784 3500439 4619136 4667252 4870176 6493568 7000878 9334504 9740352 14001756 18669008 19480704 28003512 37338016 56007024 74676032 112014048 149352064 224028096 448056192