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51444064 = 257832767
BaseRepresentation
bin1100010000111…
…1100101100000
310120210121222201
43010033211200
5101132202224
65034342544
71163160460
oct304174540
9116717881
1051444064
1127047761
121528aa54
13a872799
146b91ba0
1547b2a44
hex310f960

51444064 has 48 divisors (see below), whose sum is σ = 117186048. Its totient is φ = 21773952.

The previous prime is 51444037. The next prime is 51444067. The reversal of 51444064 is 46044415.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51444067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17209 + ... + 19975.

It is an arithmetic number, because the mean of its divisors is an integer number (2441376).

Almost surely, 251444064 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 51444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58593024).

51444064 is an abundant number, since it is smaller than the sum of its proper divisors (65741984).

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

51444064 is a wasteful number, since it uses less digits than its factorization.

51444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 51444064 is about 7172.4517426052. The cubic root of 51444064 is about 371.9161949421.

Adding to 51444064 its reverse (46044415), we get a palindrome (97488479).

The spelling of 51444064 in words is "fifty-one million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2656 2767 4648 5534 9296 11068 18592 19369 22136 38738 44272 77476 88544 154952 229661 309904 459322 619808 918644 1607627 1837288 3215254 3674576 6430508 7349152 12861016 25722032 51444064