Search a number
-
+
45352125 = 3253713443
BaseRepresentation
bin1010110100000…
…0010010111101
310011100010102100
42231000102331
543102232000
64300015313
71060325640
oct255002275
9104303370
1045352125
11236667a5
1213231539
13951b9a0
146047a57
153eaca00
hex2b404bd

45352125 has 96 divisors (see below), whose sum is σ = 100848384. Its totient is φ = 19094400.

The previous prime is 45352117. The next prime is 45352127. The reversal of 45352125 is 52125354.

It is a happy number.

45352125 is a `hidden beast` number, since 4 + 535 + 2 + 125 = 666.

It is not a de Polignac number, because 45352125 - 23 = 45352117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45352127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102154 + ... + 102596.

It is an arithmetic number, because the mean of its divisors is an integer number (1050504).

Almost surely, 245352125 is an apocalyptic number.

45352125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45352125 is an abundant number, since it is smaller than the sum of its proper divisors (55496259).

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

45352125 is a wasteful number, since it uses less digits than its factorization.

45352125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 45352125 is about 6734.3986368495. The cubic root of 45352125 is about 356.6146773534.

Adding to 45352125 its reverse (52125354), we get a palindrome (97477479).

The spelling of 45352125 in words is "forty-five million, three hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 125 175 195 225 273 315 325 375 443 455 525 585 819 875 975 1125 1329 1365 1575 1625 2215 2275 2625 2925 3101 3987 4095 4875 5759 6645 6825 7875 9303 11075 11375 14625 15505 17277 19935 20475 27909 28795 33225 34125 40313 46515 51831 55375 77525 86385 99675 102375 120939 139545 143975 166125 201565 232575 259155 362817 387625 431925 498375 604695 697725 719875 1007825 1162875 1295775 1814085 2159625 3023475 3488625 5039125 6478875 9070425 15117375 45352125