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45543240 = 23325731733
BaseRepresentation
bin1010110110111…
…0111101001000
310011200211120200
42231232331020
543124340430
64304052200
71062053061
oct255567510
9104624520
1045543240
1123787346
1213304060
139587982
146097568
153ee9460
hex2b6ef48

45543240 has 96 divisors (see below), whose sum is σ = 150129720. Its totient is φ = 11971584.

The previous prime is 45543229. The next prime is 45543257. The reversal of 45543240 is 4234554.

It can be written as a sum of positive squares in 4 ways, for example, as 36650916 + 8892324 = 6054^2 + 2982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25414 + ... + 27146.

Almost surely, 245543240 is an apocalyptic number.

45543240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75064860).

45543240 is an abundant number, since it is smaller than the sum of its proper divisors (104586480).

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

45543240 is a wasteful number, since it uses less digits than its factorization.

45543240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1816 counting only the distinct ones).

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

The square root of 45543240 is about 6748.5731825327. The cubic root of 45543240 is about 357.1149031073.

Adding to 45543240 its reverse (4234554), we get a palindrome (49777794).

The spelling of 45543240 in words is "forty-five million, five hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1733 1752 2190 2628 2920 3285 3466 4380 5199 5256 6570 6932 8665 8760 10398 13140 13864 15597 17330 20796 25995 26280 31194 34660 41592 51990 62388 69320 77985 103980 124776 126509 155970 207960 253018 311940 379527 506036 623880 632545 759054 1012072 1138581 1265090 1518108 1897635 2277162 2530180 3036216 3795270 4554324 5060360 5692905 7590540 9108648 11385810 15181080 22771620 45543240