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51351440 = 2457107857
BaseRepresentation
bin1100001111100…
…0111110010000
310120121220221012
43003320332100
5101121221230
65032350052
71162323440
oct303707620
9116556835
1051351440
1126a94108
1215245328
13a83c58a
146b6a120
154795395
hex30f8f90

51351440 has 80 divisors (see below), whose sum is σ = 137884032. Its totient is φ = 17421312.

The previous prime is 51351439. The next prime is 51351451. The reversal of 51351440 is 4415315.

51351440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 59492 + ... + 60348.

Almost surely, 251351440 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 51351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

51351440 is an abundant number, since it is smaller than the sum of its proper divisors (86532592).

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

51351440 is a wasteful number, since it uses less digits than its factorization.

51351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 51351440 is about 7165.9919062193. The cubic root of 51351440 is about 371.6928516433.

Adding to 51351440 its reverse (4415315), we get a palindrome (55766755).

The spelling of 51351440 in words is "fifty-one million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 857 1070 1498 1712 1714 2140 2996 3428 3745 4280 4285 5992 5999 6856 7490 8560 8570 11984 11998 13712 14980 17140 23996 29960 29995 34280 47992 59920 59990 68560 91699 95984 119980 183398 239960 366796 458495 479920 641893 733592 916990 1283786 1467184 1833980 2567572 3209465 3667960 5135144 6418930 7335920 10270288 12837860 25675720 51351440