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450144156 = 2237111728657
BaseRepresentation
bin11010110101001…
…010011110011100
31011101000200200210
4122311022132130
51410214103111
6112400052420
714104106430
oct3265123634
91141020623
10450144156
11211104a70
12106904110
137234a4b7
1443ad89c0
15297bb0a6
hex1ad4a79c

450144156 has 96 divisors (see below), whose sum is σ = 1386588672. Its totient is φ = 110039040.

The previous prime is 450144131. The next prime is 450144157. The reversal of 450144156 is 651441054.

It is a super-2 number, since 2×4501441562 = 405259522361904672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450144157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380 + ... + 30036.

It is an arithmetic number, because the mean of its divisors is an integer number (14443632).

Almost surely, 2450144156 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 450144156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693294336).

450144156 is an abundant number, since it is smaller than the sum of its proper divisors (936444516).

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

450144156 is a wasteful number, since it uses less digits than its factorization.

450144156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28699 (or 28697 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 450144156 is about 21216.6009530273. The cubic root of 450144156 is about 766.3912518814.

The spelling of 450144156 in words is "four hundred fifty million, one hundred forty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15708 28657 57314 85971 114628 171942 200599 315227 343884 401198 487169 601797 630454 802396 945681 974338 1203594 1260908 1461507 1891362 1948676 2206589 2407188 2923014 3410183 3782724 4413178 5358859 5846028 6619767 6820366 8826356 10230549 10717718 13239534 13640732 16076577 20461098 21435436 26479068 32153154 37512013 40922196 64306308 75024026 112536039 150048052 225072078 450144156