Search a number
-
+
45530424 = 233637211
BaseRepresentation
bin1010110110101…
…1110100111000
310011200012000000
42231223310320
543123433144
64303513000
71062000522
oct255536470
9104605000
1045530424
1123778755
12132b8760
139581ba4
146092a12
153ee5769
hex2b6bd38

45530424 has 112 divisors (see below), whose sum is σ = 132078120. Its totient is φ = 14696640.

The previous prime is 45530411. The next prime is 45530431. The reversal of 45530424 is 42403554.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 215679 + ... + 215889.

Almost surely, 245530424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45530424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66039060).

45530424 is an abundant number, since it is smaller than the sum of its proper divisors (86547696).

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

45530424 is a wasteful number, since it uses less digits than its factorization.

45530424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45530424 is about 6747.6235816767. The cubic root of 45530424 is about 357.0814022411.

Adding to 45530424 its reverse (42403554), we get a palindrome (87933978).

It can be divided in two parts, 45530 and 424, that added together give a palindrome (45954).

The spelling of 45530424 in words is "forty-five million, five hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 211 216 222 243 296 324 333 422 444 486 633 648 666 729 844 888 972 999 1266 1332 1458 1688 1899 1944 1998 2532 2664 2916 2997 3798 3996 5064 5697 5832 5994 7596 7807 7992 8991 11394 11988 15192 15614 17091 17982 22788 23421 23976 26973 31228 34182 35964 45576 46842 51273 53946 62456 68364 70263 71928 93684 102546 107892 136728 140526 153819 187368 205092 210789 215784 281052 307638 410184 421578 562104 615276 632367 843156 1230552 1264734 1686312 1897101 2529468 3794202 5058936 5691303 7588404 11382606 15176808 22765212 45530424