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51054840 = 23335411153
BaseRepresentation
bin1100001011000…
…0100011111000
310120001212002000
43002300203320
5101032223330
65022141000
71156646634
oct302604370
9116055060
1051054840
1126901291
1215121760
13a767585
146acddc4
154737560
hex30b08f8

51054840 has 128 divisors (see below), whose sum is σ = 174484800. Its totient is φ = 13271040.

The previous prime is 51054811. The next prime is 51054853. The reversal of 51054840 is 4845015.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43704 + ... + 44856.

Almost surely, 251054840 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 51054840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87242400).

51054840 is an abundant number, since it is smaller than the sum of its proper divisors (123429960).

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

51054840 is a wasteful number, since it uses less digits than its factorization.

51054840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51054840 is about 7145.2669649216. The cubic root of 51054840 is about 370.9758510690.

Adding to 51054840 its reverse (4845015), we get a palindrome (55899855).

The spelling of 51054840 in words is "fifty-one million, fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1153 1230 1476 1640 1845 2214 2306 2460 2952 3459 3690 4428 4612 4920 5535 5765 6918 7380 8856 9224 10377 11070 11530 13836 14760 17295 20754 22140 23060 27672 31131 34590 41508 44280 46120 47273 51885 62262 69180 83016 94546 103770 124524 138360 141819 155655 189092 207540 236365 249048 283638 311310 378184 415080 425457 472730 567276 622620 709095 850914 945460 1134552 1245240 1276371 1418190 1701828 1890920 2127285 2552742 2836380 3403656 4254570 5105484 5672760 6381855 8509140 10210968 12763710 17018280 25527420 51054840