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450240448 = 2674721383
BaseRepresentation
bin11010110101100…
…001111111000000
31011101012120210011
4122311201333000
51410230143243
6112402114304
714104660240
oct3265417700
91141176704
10450240448
11211170349
1210694b994
1372382288
1443b21b20
15297d989d
hex1ad61fc0

450240448 has 56 divisors (see below), whose sum is σ = 1042854912. Its totient is φ = 188845824.

The previous prime is 450240431. The next prime is 450240449. The reversal of 450240448 is 844042054.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×4502404482 = 405432922030481408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450240449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10365 + ... + 31747.

Almost surely, 2450240448 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 450240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521427456).

450240448 is an abundant number, since it is smaller than the sum of its proper divisors (592614464).

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

450240448 is a wasteful number, since it uses less digits than its factorization.

450240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21449 (or 21439 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 450240448 is about 21218.8700924437. The cubic root of 450240448 is about 766.4458951803.

The spelling of 450240448 in words is "four hundred fifty million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 21056 21383 42766 85532 149681 171064 299362 342128 598724 684256 1005001 1197448 1368512 2010002 2394896 4020004 4789792 7035007 8040008 9579584 14070014 16080016 28140028 32160032 56280056 64320064 112560112 225120224 450240448