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51344010 = 2335397479
BaseRepresentation
bin1100001111011…
…1001010001010
310120121112202000
43003313022022
5101121002020
65032251430
71162262664
oct303671212
9116545660
1051344010
1126a89573
1215240b76
13a839093
146b67534
154793090
hex30f728a

51344010 has 64 divisors (see below), whose sum is σ = 137548800. Its totient is φ = 13628736.

The previous prime is 51344003. The next prime is 51344017. The reversal of 51344010 is 1044315.

It is a happy number.

51344010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51344003) and next prime (51344017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51344017) 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, 106951 + ... + 107429.

It is an arithmetic number, because the mean of its divisors is an integer number (2149200).

Almost surely, 251344010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51344010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68774400).

51344010 is an abundant number, since it is smaller than the sum of its proper divisors (86204790).

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

51344010 is a wasteful number, since it uses less digits than its factorization.

51344010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51344010 is about 7165.4734665617. The cubic root of 51344010 is about 371.6749241285.

Adding to 51344010 its reverse (1044315), we get a palindrome (52388325).

The spelling of 51344010 in words is "fifty-one million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 397 479 794 958 1191 1437 1985 2382 2395 2874 3573 3970 4311 4790 5955 7146 7185 8622 10719 11910 12933 14370 17865 21438 21555 25866 35730 43110 53595 64665 107190 129330 190163 380326 570489 950815 1140978 1711467 1901630 2852445 3422934 5134401 5704890 8557335 10268802 17114670 25672005 51344010