Search a number
-
+
1045545033 = 313217294789
BaseRepresentation
bin111110010100011…
…100000001001001
32200212101012011010
4332110130001021
54120124420113
6251425354133
734623662151
oct7624340111
92625335133
101045545033
11497201505
12252198949
131387c5900
149cc05761
1561bcb1c3
hex3e51c049

1045545033 has 96 divisors (see below), whose sum is σ = 1707609600. Its totient is φ = 565813248.

The previous prime is 1045545023. The next prime is 1045545097. The reversal of 1045545033 is 3305455401.

It is not a de Polignac number, because 1045545033 - 28 = 1045544777 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045545023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11747653 + ... + 11747741.

It is an arithmetic number, because the mean of its divisors is an integer number (17787600).

Almost surely, 21045545033 is an apocalyptic number.

1045545033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1045545033 is a deficient number, since it is larger than the sum of its proper divisors (662064567).

1045545033 is a wasteful number, since it uses less digits than its factorization.

1045545033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1045545033 is about 32334.8887890464. Note that the first 3 decimals coincide. The cubic root of 1045545033 is about 1014.9568548397.

The spelling of 1045545033 in words is "one billion, forty-five million, five hundred forty-five thousand, thirty-three".

Divisors: 1 3 13 17 29 39 47 51 87 89 141 169 221 267 377 493 507 611 663 799 1131 1157 1363 1479 1513 1833 2397 2581 2873 3471 4089 4183 4539 4901 6409 7743 7943 8619 10387 12549 14703 15041 17719 19227 19669 23171 23829 31161 33553 43877 45123 53157 54379 59007 69513 71111 83317 100659 121307 131631 135031 163137 213333 230347 249951 255697 301223 363921 405093 436189 570401 691041 706927 767091 903669 924443 1308567 1576991 1711203 2062219 2120781 2773329 3915899 4730973 6186657 7415213 11747697 12017759 20500883 22245639 26808847 36053277 61502649 80426541 348515011 1045545033