Search a number
-
+
45827145 = 32571319231
BaseRepresentation
bin1010111011010…
…0010001001001
310012020021000200
42232310101021
543212432040
64314122413
71064344560
oct256642111
9105207020
1045827145
1123960681
1213420409
139656c70
14612cbd7
154053630
hex2bb4449

45827145 has 144 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 17729280.

The previous prime is 45827143. The next prime is 45827147. The reversal of 45827145 is 54172854.

45827145 is a `hidden beast` number, since 4 + 582 + 71 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (45827143) and next prime (45827147).

It is not a de Polignac number, because 45827145 - 21 = 45827143 is a prime.

Its product of digits (44800) is a multiple of the sum of its prime factors (100).

It is not an unprimeable number, because it can be changed into a prime (45827143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1478280 + ... + 1478310.

It is an arithmetic number, because the mean of its divisors is an integer number (739648).

Almost surely, 245827145 is an apocalyptic number.

45827145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45827145 is an abundant number, since it is smaller than the sum of its proper divisors (60682167).

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

45827145 is a wasteful number, since it uses less digits than its factorization.

45827145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45827145 is about 6769.5749497291. The cubic root of 45827145 is about 357.8554210572.

Adding to 45827145 its reverse (54172854), we get a palindrome (99999999).

The spelling of 45827145 in words is "forty-five million, eight hundred twenty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 19 21 31 35 39 45 57 63 65 91 93 95 105 117 133 155 171 195 217 247 273 279 285 315 361 399 403 455 465 585 589 651 665 741 819 855 1083 1085 1197 1209 1235 1365 1395 1729 1767 1805 1953 1995 2015 2223 2527 2821 2945 3249 3255 3627 3705 4095 4123 4693 5187 5301 5415 5985 6045 7581 7657 8463 8645 8835 9765 11115 11191 12369 12635 14079 14105 15561 16245 18135 20615 22743 22971 23465 25389 25935 26505 32851 33573 37107 37905 38285 42237 42315 53599 55955 61845 68913 70395 77805 78337 98553 100719 113715 114855 126945 145483 160797 164255 167865 185535 211185 235011 267995 295659 344565 391685 436449 482391 492765 503595 705033 727415 803985 1018381 1175055 1309347 1478295 2182245 2411955 3055143 3525165 5091905 6546735 9165429 15275715 45827145