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51016440 = 23353111367
BaseRepresentation
bin1100001010011…
…1001011111000
310112222220101210
43002213023320
5101030011230
65021243120
71156426656
oct302471370
9115886353
1051016440
1126885452
12151034a0
13a752c57
146abddd6
15472aeb0
hex30a72f8

51016440 has 64 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 13550720.

The previous prime is 51016417. The next prime is 51016453. The reversal of 51016440 is 4461015.

51016440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36637 + ... + 38003.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 251016440 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 51016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

51016440 is an abundant number, since it is smaller than the sum of its proper divisors (102637320).

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

51016440 is a wasteful number, since it uses less digits than its factorization.

51016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51016440 is about 7142.5793660274. The cubic root of 51016440 is about 370.8828200872.

Adding to 51016440 its reverse (4461015), we get a palindrome (55477455).

The spelling of 51016440 in words is "fifty-one million, sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1367 1555 1866 2488 2734 3110 3732 4101 4665 5468 6220 6835 7464 8202 9330 10936 12440 13670 16404 18660 20505 27340 32808 37320 41010 54680 82020 164040 425137 850274 1275411 1700548 2125685 2550822 3401096 4251370 5101644 6377055 8502740 10203288 12754110 17005480 25508220 51016440