Search a number
-
+
45382095 = 32511175393
BaseRepresentation
bin1010110100011…
…1100111001111
310011101122112100
42231013213033
543104211340
64300410143
71060512213
oct255074717
9104348470
1045382095
1123687270
1213246953
13952c515
146054943
153eb6830
hex2b479cf

45382095 has 48 divisors (see below), whose sum is σ = 90878112. Its totient is φ = 20705280.

The previous prime is 45382093. The next prime is 45382123. The reversal of 45382095 is 59028354.

It is not a de Polignac number, because 45382095 - 21 = 45382093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45382093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5719 + ... + 11111.

It is an arithmetic number, because the mean of its divisors is an integer number (1893294).

Almost surely, 245382095 is an apocalyptic number.

45382095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45382095 is an abundant number, since it is smaller than the sum of its proper divisors (45496017).

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

45382095 is a wasteful number, since it uses less digits than its factorization.

45382095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45382095 is about 6736.6234123632. The cubic root of 45382095 is about 356.6932138313.

The spelling of 45382095 in words is "forty-five million, three hundred eighty-two thousand, ninety-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 5393 8415 16179 26965 48537 59323 80895 91681 177969 242685 275043 296615 458405 533907 825129 889845 1008491 1375215 2669535 3025473 4125645 5042455 9076419 15127365 45382095