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448200828 = 223212450023
BaseRepresentation
bin11010101101110…
…000000001111100
31011020100221221200
4122231300001330
51404214411303
6112250255500
714051433645
oct3255600174
91136327850
10448200828
1120aaa7a09
12106127590
1371b19aba
14437506cc
15295353a3
hex1ab7007c

448200828 has 18 divisors (see below), whose sum is σ = 1132952184. Its totient is φ = 149400264.

The previous prime is 448200817. The next prime is 448200833. The reversal of 448200828 is 828002844.

448200828 is a `hidden beast` number, since 448 + 200 + 8 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12450023 = 448200828 / (4 + 4 + 8 + 2 + 0 + 0 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 448200792 and 448200801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6224976 + ... + 6225047.

It is an arithmetic number, because the mean of its divisors is an integer number (62941788).

Almost surely, 2448200828 is an apocalyptic number.

It is an amenable number.

448200828 is an abundant number, since it is smaller than the sum of its proper divisors (684751356).

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

448200828 is a wasteful number, since it uses less digits than its factorization.

448200828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12450033 (or 12450028 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 448200828 is about 21170.7540725407. The cubic root of 448200828 is about 765.2867923807.

The spelling of 448200828 in words is "four hundred forty-eight million, two hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12450023 24900046 37350069 49800092 74700138 112050207 149400276 224100414 448200828