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51391440 = 24325137521
BaseRepresentation
bin1100010000001…
…0101111010000
310120200221210200
43010002233100
5101124011230
65033255200
71162551162
oct304025720
9116627720
1051391440
1127011171
1215264500
13a854849
146b7a932
1547a2160
hex3102bd0

51391440 has 120 divisors (see below), whose sum is σ = 174183048. Its totient is φ = 13578240.

The previous prime is 51391427. The next prime is 51391469. The reversal of 51391440 is 4419315.

51391440 is a `hidden beast` number, since 513 + 9 + 144 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 48108096 = 1812^2 + 6936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 98380 + ... + 98900.

Almost surely, 251391440 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 51391440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091524).

51391440 is an abundant number, since it is smaller than the sum of its proper divisors (122791608).

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

51391440 is a wasteful number, since it uses less digits than its factorization.

51391440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51391440 is about 7168.7823233796. The cubic root of 51391440 is about 371.7893361518.

The spelling of 51391440 in words is "fifty-one million, three hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 521 548 685 720 822 1042 1096 1233 1370 1563 1644 2055 2084 2192 2466 2605 2740 3126 3288 4110 4168 4689 4932 5210 5480 6165 6252 6576 7815 8220 8336 9378 9864 10420 10960 12330 12504 15630 16440 18756 19728 20840 23445 24660 25008 31260 32880 37512 41680 46890 49320 62520 71377 75024 93780 98640 125040 142754 187560 214131 285508 356885 375120 428262 571016 642393 713770 856524 1070655 1142032 1284786 1427540 1713048 2141310 2569572 2855080 3211965 3426096 4282620 5139144 5710160 6423930 8565240 10278288 12847860 17130480 25695720 51391440