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450021144 = 2331743113227
BaseRepresentation
bin11010110100101…
…100011100011000
31011100210102221210
4122310230130120
51410201134034
6112353303120
714103054666
oct3264543430
91140712853
10450021144
11211030601
12106864aa0
1372306501
1443aa5c36
15297948e9
hex1ad2c718

450021144 has 128 divisors (see below), whose sum is σ = 1235139840. Its totient is φ = 136077312.

The previous prime is 450021133. The next prime is 450021157. The reversal of 450021144 is 441120054.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 450021144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982359 + ... + 1982585.

It is an arithmetic number, because the mean of its divisors is an integer number (9649530).

Almost surely, 2450021144 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 450021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617569920).

450021144 is an abundant number, since it is smaller than the sum of its proper divisors (785118696).

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

450021144 is a wasteful number, since it uses less digits than its factorization.

450021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 450021144 is about 21213.7017986018. The cubic root of 450021144 is about 766.3214343142.

Adding to 450021144 its reverse (441120054), we get a palindrome (891141198).

The spelling of 450021144 in words is "four hundred fifty million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 113 129 136 172 204 226 227 258 339 344 408 452 454 516 678 681 731 904 908 1032 1356 1362 1462 1816 1921 2193 2712 2724 2924 3842 3859 4386 4859 5448 5763 5848 7684 7718 8772 9718 9761 11526 11577 14577 15368 15436 17544 19436 19522 23052 23154 25651 29154 29283 30872 38872 39044 46104 46308 51302 58308 58566 76953 78088 82603 92616 102604 116616 117132 153906 165206 165937 205208 234264 247809 307812 330412 331874 436067 495618 497811 615624 660824 663748 872134 991236 995622 1102993 1308201 1327496 1744268 1982472 1991244 2205986 2616402 3308979 3488536 3982488 4411972 5232804 6617958 8823944 10465608 13235916 18750881 26471832 37501762 56252643 75003524 112505286 150007048 225010572 450021144