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51171296 = 2511373929
BaseRepresentation
bin1100001100110…
…0111111100000
310120021202211012
43003030333200
5101044440141
65024440052
71160643311
oct303147740
9116252735
1051171296
1126980830
1215179028
13a7a8597
146b20608
15475bceb
hex30ccfe0

51171296 has 48 divisors (see below), whose sum is σ = 112901040. Its totient is φ = 22625280.

The previous prime is 51171271. The next prime is 51171299. The reversal of 51171296 is 69217115.

51171296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51171299) by changing a digit.

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, 11060 + ... + 14988.

It is an arithmetic number, because the mean of its divisors is an integer number (2352105).

Almost surely, 251171296 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 51171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56450520).

51171296 is an abundant number, since it is smaller than the sum of its proper divisors (61729744).

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

51171296 is a wasteful number, since it uses less digits than its factorization.

51171296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3979 counting only the distinct ones).

The product of its digits is 3780, while the sum is 32.

The square root of 51171296 is about 7153.4114938259. The cubic root of 51171296 is about 371.2577019643.

The spelling of 51171296 in words is "fifty-one million, one hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 3929 6512 7858 13024 15716 31432 43219 62864 86438 125728 145373 172876 290746 345752 581492 691504 1162984 1383008 1599103 2325968 3198206 4651936 6396412 12792824 25585648 51171296