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450283148 = 227217672017
BaseRepresentation
bin11010110101101…
…100011010001100
31011101021202100122
4122311230122030
51410233030043
6112403044112
714105225600
oct3265543214
91141252318
10450283148
1121119a437
12106970638
1372398843
1443b33500
15297e7368
hex1ad6c68c

450283148 has 72 divisors (see below), whose sum is σ = 985542768. Its totient is φ = 178827264.

The previous prime is 450283139. The next prime is 450283157. The reversal of 450283148 is 841382054.

It is an interprime number because it is at equal distance from previous prime (450283139) and next prime (450283157).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222236 + ... + 224252.

It is an arithmetic number, because the mean of its divisors is an integer number (13688094).

Almost surely, 2450283148 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 450283148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492771384).

450283148 is an abundant number, since it is smaller than the sum of its proper divisors (535259620).

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

450283148 is a wasteful number, since it uses less digits than its factorization.

450283148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 450283148 is about 21219.8762484610. The cubic root of 450283148 is about 766.4701238677.

The spelling of 450283148 in words is "four hundred fifty million, two hundred eighty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 469 476 833 938 1139 1666 1876 2017 2278 3283 3332 4034 4556 6566 7973 8068 13132 14119 15946 28238 31892 34289 55811 56476 68578 98833 111622 135139 137156 197666 223244 240023 270278 395332 480046 540556 945973 960092 1680161 1891946 2297363 3360322 3783892 4594726 6621811 6720644 9189452 13243622 16081541 26487244 32163082 64326164 112570787 225141574 450283148