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51012288 = 263353557
BaseRepresentation
bin1100001010011…
…0001011000000
310112222200201000
43002212023000
5101024343123
65021212000
71156411605
oct302461300
9115880630
1051012288
1126882318
1215101000
13a7510b2
146abc6ac
154729b43
hex30a62c0

51012288 has 112 divisors (see below), whose sum is σ = 153070560. Its totient is φ = 16653312.

The previous prime is 51012281. The next prime is 51012289. The reversal of 51012288 is 88221015.

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

It is not an unprimeable number, because it can be changed into a prime (51012281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91306 + ... + 91862.

Almost surely, 251012288 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 51012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535280).

51012288 is an abundant number, since it is smaller than the sum of its proper divisors (102058272).

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

51012288 is a wasteful number, since it uses less digits than its factorization.

51012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51012288 is about 7142.2887088104. The cubic root of 51012288 is about 370.8727583159.

The spelling of 51012288 in words is "fifty-one million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 557 576 636 848 864 954 1114 1272 1431 1671 1696 1728 1908 2228 2544 2862 3342 3392 3816 4456 5013 5088 5724 6684 7632 8912 10026 10176 11448 13368 15039 15264 17824 20052 22896 26736 29521 30078 30528 35648 40104 45792 53472 59042 60156 80208 88563 91584 106944 118084 120312 160416 177126 236168 240624 265689 320832 354252 472336 481248 531378 708504 797067 944672 962496 1062756 1417008 1594134 1889344 2125512 2834016 3188268 4251024 5668032 6376536 8502048 12753072 17004096 25506144 51012288