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51533328 = 24371173191
BaseRepresentation
bin1100010010010…
…1011000010000
310120222011102210
43010211120100
5101143031303
65040312120
71164011640
oct304453020
9116864383
1051533328
11270a8830
1215312640
13a8a42c2
146bb6520
1547ce203
hex3125610

51533328 has 160 divisors (see below), whose sum is σ = 169132032. Its totient is φ = 13132800.

The previous prime is 51533323. The next prime is 51533329. The reversal of 51533328 is 82333515.

It is a junction number, because it is equal to n+sod(n) for n = 51533295 and 51533304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51533323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269713 + ... + 269903.

Almost surely, 251533328 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 51533328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84566016).

51533328 is an abundant number, since it is smaller than the sum of its proper divisors (117598704).

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

51533328 is a wasteful number, since it uses less digits than its factorization.

51533328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 51533328 is about 7178.6717434356. The cubic root of 51533328 is about 372.1311827778.

The spelling of 51533328 in words is "fifty-one million, five hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 73 77 84 88 112 132 146 154 168 176 191 219 231 264 292 308 336 382 438 462 511 528 573 584 616 764 803 876 924 1022 1146 1168 1232 1337 1528 1533 1606 1752 1848 2044 2101 2292 2409 2674 3056 3066 3212 3504 3696 4011 4088 4202 4584 4818 5348 5621 6132 6303 6424 8022 8176 8404 9168 9636 10696 11242 12264 12606 12848 13943 14707 16044 16808 16863 19272 21392 22484 24528 25212 27886 29414 32088 33616 33726 38544 41829 44121 44968 50424 55772 58828 64176 67452 83658 88242 89936 97601 100848 111544 117656 134904 153373 167316 176484 195202 223088 235312 269808 292803 306746 334632 352968 390404 460119 585606 613492 669264 705936 780808 920238 1073611 1171212 1226984 1561616 1840476 2147222 2342424 2453968 3220833 3680952 4294444 4684848 6441666 7361904 8588888 12883332 17177776 25766664 51533328