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51356928 = 283741233
BaseRepresentation
bin1100001111101…
…0010100000000
310120122012110110
43003322110000
5101121410203
65032431320
71162345440
oct303722400
9116565413
1051356928
1126a98247
1215248540
13a841c1c
146b6c120
154796d03
hex30fa500

51356928 has 144 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 14254080.

The previous prime is 51356923. The next prime is 51356951. The reversal of 51356928 is 82965315.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (64800) is a multiple of the sum of its prime factors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51356923) 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, 220300 + ... + 220532.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 251356928 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 51356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

51356928 is an abundant number, since it is smaller than the sum of its proper divisors (109350528).

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

51356928 is a wasteful number, since it uses less digits than its factorization.

51356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 51356928 is about 7166.3748157628. The cubic root of 51356928 is about 371.7060922827.

The spelling of 51356928 in words is "fifty-one million, three hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 233 246 256 287 328 336 384 448 466 492 574 656 672 699 768 861 896 932 984 1148 1312 1344 1398 1631 1722 1792 1864 1968 2296 2624 2688 2796 3262 3444 3728 3936 4592 4893 5248 5376 5592 6524 6888 7456 7872 9184 9553 9786 10496 11184 13048 13776 14912 15744 18368 19106 19572 22368 26096 27552 28659 29824 31488 36736 38212 39144 44736 52192 55104 57318 59648 66871 73472 76424 78288 89472 104384 110208 114636 133742 152848 156576 178944 200613 208768 220416 229272 267484 305696 313152 401226 417536 458544 534968 611392 626304 802452 917088 1069936 1222784 1252608 1604904 1834176 2139872 2445568 3209808 3668352 4279744 6419616 7336704 8559488 12839232 17118976 25678464 51356928