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51444288 = 263374253
BaseRepresentation
bin1100010000111…
…1101001000000
310120210122022000
43010033221000
5101132204123
65034344000
71163161230
oct304175100
9116718260
1051444288
1127047945
121528b000
13a87290c
146b91cc0
1547b2b43
hex310fa40

51444288 has 112 divisors (see below), whose sum is σ = 172882560. Its totient is φ = 14694912.

The previous prime is 51444269. The next prime is 51444377. The reversal of 51444288 is 88244415.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9970 + ... + 14222.

Almost surely, 251444288 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 51444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86441280).

51444288 is an abundant number, since it is smaller than the sum of its proper divisors (121438272).

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

51444288 is a wasteful number, since it uses less digits than its factorization.

51444288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4265 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 51444288 is about 7172.4673578902. The cubic root of 51444288 is about 371.9167347459.

The spelling of 51444288 in words is "fifty-one million, four hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4253 6048 8506 12096 12759 17012 25518 29771 34024 38277 51036 59542 68048 76554 89313 102072 114831 119084 136096 153108 178626 204144 229662 238168 267939 272192 306216 357252 408288 459324 476336 535878 612432 714504 803817 816576 918648 952672 1071756 1224864 1429008 1607634 1837296 1905344 2143512 2449728 2858016 3215268 3674592 4287024 5716032 6430536 7349184 8574048 12861072 17148096 25722144 51444288