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51450240 = 2735127211
BaseRepresentation
bin1100010001000…
…1000110000000
310120210221110110
43010101012000
5101132401430
65034431320
71163214462
oct304210600
9116727413
1051450240
1127051366
1215292540
13a87553a
146b94132
1547b47b0
hex3111180

51450240 has 128 divisors (see below), whose sum is σ = 166072320. Its totient is φ = 13547520.

The previous prime is 51450209. The next prime is 51450253. The reversal of 51450240 is 4205415.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243735 + ... + 243945.

It is an arithmetic number, because the mean of its divisors is an integer number (1297440).

Almost surely, 251450240 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 51450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83036160).

51450240 is an abundant number, since it is smaller than the sum of its proper divisors (114622080).

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

51450240 is a wasteful number, since it uses less digits than its factorization.

51450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 51450240 is about 7172.8822658677. The cubic root of 51450240 is about 371.9310775306.

Adding to 51450240 its reverse (4205415), we get a palindrome (55655655).

The spelling of 51450240 in words is "fifty-one million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 211 240 254 320 381 384 422 480 508 633 635 640 762 844 960 1016 1055 1266 1270 1524 1688 1905 1920 2032 2110 2532 2540 3048 3165 3376 3810 4064 4220 5064 5080 6096 6330 6752 7620 8128 8440 10128 10160 12192 12660 13504 15240 16256 16880 20256 20320 24384 25320 26797 27008 30480 33760 40512 40640 48768 50640 53594 60960 67520 80391 81024 81280 101280 107188 121920 133985 135040 160782 202560 214376 243840 267970 321564 401955 405120 428752 535940 643128 803910 857504 1071880 1286256 1607820 1715008 2143760 2572512 3215640 3430016 4287520 5145024 6431280 8575040 10290048 12862560 17150080 25725120 51450240