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51024168 = 233613673
BaseRepresentation
bin1100001010100…
…1000100101000
310120000022000000
43002221010220
5101030233133
65021343000
71156461336
oct302510450
9116008000
1051024168
1126890238
1215107a60
13a756620
146ac2b56
15472d413
hex30a9128

51024168 has 112 divisors (see below), whose sum is σ = 154703220. Its totient is φ = 15676416.

The previous prime is 51024163. The next prime is 51024227. The reversal of 51024168 is 86142015.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 3992004 = 6858^2 + 1998^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51024161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75480 + ... + 76152.

Almost surely, 251024168 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 51024168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77351610).

51024168 is an abundant number, since it is smaller than the sum of its proper divisors (103679052).

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

51024168 is a wasteful number, since it uses less digits than its factorization.

51024168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51024168 is about 7143.1203265800. The cubic root of 51024168 is about 370.9015463234.

The spelling of 51024168 in words is "fifty-one million, twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 673 702 729 936 972 1053 1346 1404 1458 1944 2019 2106 2692 2808 2916 3159 4038 4212 5384 5832 6057 6318 8076 8424 8749 9477 12114 12636 16152 17498 18171 18954 24228 25272 26247 34996 36342 37908 48456 52494 54513 69992 72684 75816 78741 104988 109026 145368 157482 163539 209976 218052 236223 314964 327078 436104 472446 490617 629928 654156 708669 944892 981234 1308312 1417338 1889784 1962468 2126007 2834676 3924936 4252014 5669352 6378021 8504028 12756042 17008056 25512084 51024168