Search a number
-
+
1144662552 = 2332112835107
BaseRepresentation
bin100010000111010…
…0010101000011000
32221202212212211100
41010032202220120
54321013200202
6305330031400
740236320415
oct10416425030
92852785740
101144662552
1153814aa10
1227b418560
131531ba827
14ac04710c
156a75941c
hex443a2a18

1144662552 has 96 divisors (see below), whose sum is σ = 3394572480. Its totient is φ = 345574080.

The previous prime is 1144662523. The next prime is 1144662601. The reversal of 1144662552 is 2552664411.

1144662552 is a `hidden beast` number, since 1 + 1 + 4 + 46 + 62 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 221583 + ... + 226689.

It is an arithmetic number, because the mean of its divisors is an integer number (35360130).

Almost surely, 21144662552 is an apocalyptic number.

1144662552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144662552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697286240).

1144662552 is an abundant number, since it is smaller than the sum of its proper divisors (2249909928).

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

1144662552 is a wasteful number, since it uses less digits than its factorization.

1144662552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5406 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1144662552 is about 33832.8620131375. The cubic root of 1144662552 is about 1046.0661728308.

The spelling of 1144662552 in words is "one billion, one hundred forty-four million, six hundred sixty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 283 396 566 792 849 1132 1698 2264 2547 3113 3396 5094 5107 6226 6792 9339 10188 10214 12452 15321 18678 20376 20428 24904 28017 30642 37356 40856 45963 56034 56177 61284 74712 91926 112068 112354 122568 168531 183852 224136 224708 337062 367704 449416 505593 674124 1011186 1348248 1445281 2022372 2890562 4044744 4335843 5781124 8671686 11562248 13007529 15898091 17343372 26015058 31796182 34686744 47694273 52030116 63592364 95388546 104060232 127184728 143082819 190777092 286165638 381554184 572331276 1144662552