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448240428 = 2232174317033
BaseRepresentation
bin11010101101111…
…001101100101100
31011020102222021100
4122231321230230
51404222143203
6112251203100
714051660256
oct3255715454
91136388240
10448240428
11210024739
12106146490
1371b31b2c
1443760cd6
1529541ea3
hex1ab79b2c

448240428 has 72 divisors (see below), whose sum is σ = 1227674448. Its totient is φ = 137346048.

The previous prime is 448240423. The next prime is 448240469. The reversal of 448240428 is 824042844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448240392 and 448240401.

It is not an unprimeable number, because it can be changed into a prime (448240423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17800 + ... + 34832.

It is an arithmetic number, because the mean of its divisors is an integer number (17051034).

Almost surely, 2448240428 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 448240428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613837224).

448240428 is an abundant number, since it is smaller than the sum of its proper divisors (779434020).

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

448240428 is a wasteful number, since it uses less digits than its factorization.

448240428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 448240428 is about 21171.6893043517. The cubic root of 448240428 is about 765.3093302421.

The spelling of 448240428 in words is "four hundred forty-eight million, two hundred forty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 2193 2924 4386 6579 8772 13158 17033 26316 34066 51099 68132 102198 153297 204396 289561 306594 579122 613188 732419 868683 1158244 1464838 1737366 2197257 2606049 2929676 3474732 4394514 5212098 6591771 8789028 10424196 12451123 13183542 24902246 26367084 37353369 49804492 74706738 112060107 149413476 224120214 448240428