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51044580 = 22385389
BaseRepresentation
bin1100001010111…
…0000011100100
310120001100000000
43002232003210
5101031411310
65022021300
71156605006
oct302560344
9116040000
1051044580
11268a4604
1215117830
13a7629c2
146aca376
1547344c0
hex30ae0e4

51044580 has 108 divisors (see below), whose sum is σ = 161195580. Its totient is φ = 13576896.

The previous prime is 51044573. The next prime is 51044627. The reversal of 51044580 is 8544015.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 35928036 = 3888^2 + 5994^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 131026 + ... + 131414.

Almost surely, 251044580 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 51044580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80597790).

51044580 is an abundant number, since it is smaller than the sum of its proper divisors (110151000).

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

51044580 is an equidigital number, since it uses as much as digits as its factorization.

51044580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51044580 is about 7144.5489710688. The cubic root of 51044580 is about 370.9509989216.

51044580 divided by its sum of digits (27) gives a triangular number (1890540 = T1944).

Adding to 51044580 its reverse (8544015), we get a palindrome (59588595).

The spelling of 51044580 in words is "fifty-one million, forty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 389 405 486 540 729 778 810 972 1167 1215 1458 1556 1620 1945 2187 2334 2430 2916 3501 3645 3890 4374 4668 4860 5835 6561 7002 7290 7780 8748 10503 10935 11670 13122 14004 14580 17505 21006 21870 23340 26244 31509 32805 35010 42012 43740 52515 63018 65610 70020 94527 105030 126036 131220 157545 189054 210060 283581 315090 378108 472635 567162 630180 850743 945270 1134324 1417905 1701486 1890540 2552229 2835810 3402972 4253715 5104458 5671620 8507430 10208916 12761145 17014860 25522290 51044580