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51353440 = 2551931663
BaseRepresentation
bin1100001111100…
…1011101100000
310120122000200021
43003321131200
5101121302230
65032403224
71162332325
oct303713540
9116560607
1051353440
1126a95666
1215246514
13a840468
146b6ab4c
154795c7a
hex30f9760

51353440 has 48 divisors (see below), whose sum is σ = 122024448. Its totient is φ = 20422656.

The previous prime is 51353437. The next prime is 51353459. The reversal of 51353440 is 4435315.

51353440 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 7 ways as a sum of consecutive naturals, for example, 30049 + ... + 31711.

It is an arithmetic number, because the mean of its divisors is an integer number (2542176).

Almost surely, 251353440 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 51353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61012224).

51353440 is an abundant number, since it is smaller than the sum of its proper divisors (70671008).

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

51353440 is a wasteful number, since it uses less digits than its factorization.

51353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 51353440 is about 7166.1314528831. The cubic root of 51353440 is about 371.6976770584.

Adding to 51353440 its reverse (4435315), we get a palindrome (55788755).

The spelling of 51353440 in words is "fifty-one million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1663 1930 3088 3326 3860 6176 6652 7720 8315 13304 15440 16630 26608 30880 33260 53216 66520 133040 266080 320959 641918 1283836 1604795 2567672 3209590 5135344 6419180 10270688 12838360 25676720 51353440