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45144540 = 2235571327
BaseRepresentation
bin1010110000110…
…1100111011100
310010221120200000
42230031213130
543024111130
64251334300
71055502510
oct254154734
9103846600
1045144540
1123534841
1213151390
13947835c
145dd2140
153e6b260
hex2b0d9dc

45144540 has 144 divisors (see below), whose sum is σ = 162419712. Its totient is φ = 10310976.

The previous prime is 45144529. The next prime is 45144557. The reversal of 45144540 is 4544154.

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 47 ways as a sum of consecutive naturals, for example, 33357 + ... + 34683.

Almost surely, 245144540 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 45144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209856).

45144540 is an abundant number, since it is smaller than the sum of its proper divisors (117275172).

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

45144540 is a wasteful number, since it uses less digits than its factorization.

45144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 45144540 is about 6718.9686708601. The cubic root of 45144540 is about 356.0697481485.

Adding to 45144540 its reverse (4544154), we get a palindrome (49688694).

The spelling of 45144540 in words is "forty-five million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1327 1620 1701 1890 2268 2430 2654 2835 3402 3780 3981 4860 5308 5670 6635 6804 7962 8505 9289 11340 11943 13270 15924 17010 18578 19905 23886 26540 27867 34020 35829 37156 39810 46445 47772 55734 59715 71658 79620 83601 92890 107487 111468 119430 139335 143316 167202 179145 185780 214974 238860 250803 278670 322461 334404 358290 418005 429948 501606 537435 557340 644922 716580 752409 836010 1003212 1074870 1254015 1289844 1504818 1612305 1672020 2149740 2257227 2508030 3009636 3224610 3762045 4514454 5016060 6449220 7524090 9028908 11286135 15048180 22572270 45144540