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51893028 = 2233113192
BaseRepresentation
bin1100010111110…
…1001100100100
310121122102212000
43011331030210
5101241034103
65052125300
71200040425
oct305751444
9117572760
1051893028
1127324000
1215466830
13a99bc45
146c6b64c
154850aa3
hex317d324

51893028 has 144 divisors (see below), whose sum is σ = 156179520. Its totient is φ = 14897520.

The previous prime is 51893021. The next prime is 51893033. The reversal of 51893028 is 82039815.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51893028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 51892983 and 51893001.

It is not an unprimeable number, because it can be changed into a prime (51893021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2731203 + ... + 2731221.

It is an arithmetic number, because the mean of its divisors is an integer number (1084580).

Almost surely, 251893028 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 51893028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78089760).

51893028 is an abundant number, since it is smaller than the sum of its proper divisors (104286492).

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

51893028 is a wasteful number, since it uses less digits than its factorization.

51893028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 51893028 is about 7203.6815587587. The cubic root of 51893028 is about 372.9949949854.

The spelling of 51893028 in words is "fifty-one million, eight hundred ninety-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 121 132 171 198 209 228 242 297 342 361 363 396 418 484 513 594 627 684 722 726 836 1026 1083 1089 1188 1254 1331 1444 1452 1881 2052 2166 2178 2299 2508 2662 3249 3267 3762 3971 3993 4332 4356 4598 5324 5643 6498 6534 6897 7524 7942 7986 9196 9747 11286 11913 11979 12996 13068 13794 15884 15972 19494 20691 22572 23826 23958 25289 27588 35739 35937 38988 41382 43681 47652 47916 50578 62073 71478 71874 75867 82764 87362 101156 107217 124146 131043 142956 143748 151734 174724 214434 227601 248292 262086 303468 393129 428868 455202 480491 524172 682803 786258 910404 960982 1179387 1365606 1441473 1572516 1921964 2358774 2731212 2882946 4324419 4717548 5765892 8648838 12973257 17297676 25946514 51893028