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448926090 = 235291992593
BaseRepresentation
bin11010110000100…
…001000110001010
31011021201210211020
4122300201012022
51404411113330
6112314013310
714060544264
oct3260410612
91137653736
10448926090
112104528a8
12106417236
1372011c52
144389cb34
152962a210
hex1ac2118a

448926090 has 64 divisors (see below), whose sum is σ = 1120608000. Its totient is φ = 114960384.

The previous prime is 448926083. The next prime is 448926109. The reversal of 448926090 is 90629844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171834 + ... + 174426.

It is an arithmetic number, because the mean of its divisors is an integer number (17509500).

Almost surely, 2448926090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448926090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560304000).

448926090 is an abundant number, since it is smaller than the sum of its proper divisors (671681910).

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

448926090 is a wasteful number, since it uses less digits than its factorization.

448926090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 448926090 is about 21187.8760143626. The cubic root of 448926090 is about 765.6993561881.

The spelling of 448926090 in words is "four hundred forty-eight million, nine hundred twenty-six thousand, ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 199 290 398 435 597 870 995 1194 1990 2593 2985 5186 5771 5970 7779 11542 12965 15558 17313 25930 28855 34626 38895 57710 75197 77790 86565 150394 173130 225591 375985 451182 516007 751970 1032014 1127955 1548021 2255910 2580035 3096042 5160070 7740105 14964203 15480210 29928406 44892609 74821015 89785218 149642030 224463045 448926090