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53281440 = 25325163227
BaseRepresentation
bin1100101101000…
…0001010100000
310201020222101200
43023100022200
5102120001230
65142001200
71214612322
oct313201240
9121228350
1053281440
1128092153
1215a16200
13b066ba4
14710d612
154a27160
hex32d02a0

53281440 has 144 divisors (see below), whose sum is σ = 183744288. Its totient is φ = 14059008.

The previous prime is 53281411. The next prime is 53281447. The reversal of 53281440 is 4418235.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53281447) 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, 234607 + ... + 234833.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 253281440 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 53281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91872144).

53281440 is an abundant number, since it is smaller than the sum of its proper divisors (130462848).

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

53281440 is a wasteful number, since it uses less digits than its factorization.

53281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53281440 is about 7299.4136750838. The cubic root of 53281440 is about 376.2922881944.

Adding to 53281440 its reverse (4418235), we get a palindrome (57699675).

The spelling of 53281440 in words is "fifty-three million, two hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 227 240 288 326 360 454 480 489 652 681 720 815 908 978 1135 1304 1362 1440 1467 1630 1816 1956 2043 2270 2445 2608 2724 2934 3260 3405 3632 3912 4086 4540 4890 5216 5448 5868 6520 6810 7264 7335 7824 8172 9080 9780 10215 10896 11736 13040 13620 14670 15648 16344 18160 19560 20430 21792 23472 26080 27240 29340 32688 36320 37001 39120 40860 46944 54480 58680 65376 74002 78240 81720 108960 111003 117360 148004 163440 185005 222006 234720 296008 326880 333009 370010 444012 555015 592016 666018 740020 888024 1110030 1184032 1332036 1480040 1665045 1776048 2220060 2664072 2960080 3330090 3552096 4440120 5328144 5920160 6660180 8880240 10656288 13320360 17760480 26640720 53281440