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51160064 = 210471063
BaseRepresentation
bin1100001100101…
…0010000000000
310120021012102012
43003022100000
5101044110224
65024312052
71160565464
oct303122000
9116235365
1051160064
112697334a
1215172628
13a7a3437
146b1a4a4
15475880e
hex30ca400

51160064 has 44 divisors (see below), whose sum is σ = 104544384. Its totient is φ = 25012224.

The previous prime is 51160063. The next prime is 51160069. The reversal of 51160064 is 46006115.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51160063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 47597 + ... + 48659.

Almost surely, 251160064 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 51160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272192).

51160064 is an abundant number, since it is smaller than the sum of its proper divisors (53384320).

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

51160064 is a wasteful number, since it uses less digits than its factorization.

51160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 51160064 is about 7152.6263707816. The cubic root of 51160064 is about 371.2305365287.

Adding to 51160064 its reverse (46006115), we get a palindrome (97166179).

The spelling of 51160064 in words is "fifty-one million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1063 1504 2126 3008 4252 6016 8504 12032 17008 24064 34016 48128 49961 68032 99922 136064 199844 272128 399688 544256 799376 1088512 1598752 3197504 6395008 12790016 25580032 51160064