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51043146 = 23711176797
BaseRepresentation
bin1100001010110…
…1101101001010
310120001021000220
43002231231022
5101031340041
65022010510
71156600560
oct302555512
9116037026
1051043146
11268a3520
1215116a36
13a76215b
146ac9a30
154733d66
hex30adb4a

51043146 has 128 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 12165120.

The previous prime is 51043127. The next prime is 51043147. The reversal of 51043146 is 64134015.

51043146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51043147) 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 63 ways as a sum of consecutive naturals, for example, 526170 + ... + 526266.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 251043146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51043146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

51043146 is an abundant number, since it is smaller than the sum of its proper divisors (87141558).

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

51043146 is a wasteful number, since it uses less digits than its factorization.

51043146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 51043146 is about 7144.4486141339. The cubic root of 51043146 is about 370.9475251690.

The spelling of 51043146 in words is "fifty-one million, forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 67 77 97 102 119 134 154 187 194 201 231 238 291 357 374 402 462 469 561 582 679 714 737 938 1067 1122 1139 1309 1358 1407 1474 1649 2037 2134 2211 2278 2618 2814 3201 3298 3417 3927 4074 4422 4947 5159 6402 6499 6834 7469 7854 7973 9894 10318 11543 12529 12998 14938 15477 15946 18139 19497 22407 23086 23919 25058 30954 34629 36278 37587 38994 44814 45493 47838 54417 69258 71489 75174 87703 90986 108834 110483 126973 136479 142978 175406 214467 220966 253946 263109 272958 331449 380919 428934 500423 526218 662898 761838 773381 1000846 1215313 1501269 1546762 2320143 2430626 3002538 3645939 4640286 7291878 8507191 17014382 25521573 51043146