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45243720 = 233251091153
BaseRepresentation
bin1010110010010…
…1110101001000
310011010121201100
42230211311020
543040244340
64253421400
71056364614
oct254456510
9104117640
1045243720
11235a2305
121319a860
1394b1542
14601a344
153e8a830
hex2b25d48

45243720 has 96 divisors (see below), whose sum is σ = 148519800. Its totient is φ = 11943936.

The previous prime is 45243719. The next prime is 45243727. The reversal of 45243720 is 2734254.

It can be written as a sum of positive squares in 4 ways, for example, as 43322724 + 1920996 = 6582^2 + 1386^2 .

It is not an unprimeable number, because it can be changed into a prime (45243727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38664 + ... + 39816.

Almost surely, 245243720 is an apocalyptic number.

45243720 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 45243720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74259900).

45243720 is an abundant number, since it is smaller than the sum of its proper divisors (103276080).

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

45243720 is a wasteful number, since it uses less digits than its factorization.

45243720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45243720 is about 6726.3452186161. The cubic root of 45243720 is about 356.3303124564.

Adding to 45243720 its reverse (2734254), we get a palindrome (47977974).

The spelling of 45243720 in words is "forty-five million, two hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1153 1308 1635 1962 2180 2306 2616 3270 3459 3924 4360 4612 4905 5765 6540 6918 7848 9224 9810 10377 11530 13080 13836 17295 19620 20754 23060 27672 34590 39240 41508 46120 51885 69180 83016 103770 125677 138360 207540 251354 377031 415080 502708 628385 754062 1005416 1131093 1256770 1508124 1885155 2262186 2513540 3016248 3770310 4524372 5027080 5655465 7540620 9048744 11310930 15081240 22621860 45243720