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51327444 = 22372331857
BaseRepresentation
bin1100001111001…
…1000111010100
310120120201000110
43003303013110
5101114434234
65032043020
71162163460
oct303630724
9116521013
1051327444
1126a78083
1215233470
13a83168c
146b614a0
15478d1e9
hex30f31d4

51327444 has 96 divisors (see below), whose sum is σ = 147603456. Its totient is φ = 13559040.

The previous prime is 51327443. The next prime is 51327469. The reversal of 51327444 is 44472315.

51327444 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 not an unprimeable number, because it can be changed into a prime (51327443) 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 31 ways as a sum of consecutive naturals, for example, 59464 + ... + 60320.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 251327444 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 51327444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73801728).

51327444 is an abundant number, since it is smaller than the sum of its proper divisors (96276012).

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

51327444 is a wasteful number, since it uses less digits than its factorization.

51327444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 51327444 is about 7164.3174134037. The cubic root of 51327444 is about 371.6349465400.

Adding to 51327444 its reverse (44472315), we get a palindrome (95799759).

The spelling of 51327444 in words is "fifty-one million, three hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 857 868 966 1302 1426 1714 1932 2139 2571 2604 2852 3428 4278 4991 5142 5999 8556 9982 10284 11998 14973 17997 19711 19964 23996 26567 29946 35994 39422 53134 59133 59892 71988 78844 79701 106268 118266 137977 159402 185969 236532 275954 318804 371938 413931 551908 557907 611041 743876 827862 1115814 1222082 1655724 1833123 2231628 2444164 3666246 4277287 7332492 8554574 12831861 17109148 25663722 51327444