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51146298 = 23272103563
BaseRepresentation
bin1100001100011…
…0111000111010
310120020111112100
43003012320322
5101043140143
65024124230
71160510400
oct303067072
9116214470
1051146298
1126963a75
1215166676
13a79a0a8
146b15470
1547546d3
hex30c6e3a

51146298 has 72 divisors (see below), whose sum is σ = 130392288. Its totient is φ = 14445648.

The previous prime is 51146297. The next prime is 51146317. The reversal of 51146298 is 89264115.

51146298 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 (51146297) 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 35 ways as a sum of consecutive naturals, for example, 90565 + ... + 91127.

It is an arithmetic number, because the mean of its divisors is an integer number (1811004).

Almost surely, 251146298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51146298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65196144).

51146298 is an abundant number, since it is smaller than the sum of its proper divisors (79245990).

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

51146298 is a wasteful number, since it uses less digits than its factorization.

51146298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

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

The square root of 51146298 is about 7151.6640021746. The cubic root of 51146298 is about 371.1972370004.

The spelling of 51146298 in words is "fifty-one million, one hundred forty-six thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 103 126 147 206 294 309 441 563 618 721 882 927 1126 1442 1689 1854 2163 3378 3941 4326 5047 5067 6489 7882 10094 10134 11823 12978 15141 23646 27587 30282 35469 45423 55174 57989 70938 82761 90846 115978 165522 173967 248283 347934 405923 496566 521901 811846 1043802 1217769 2435538 2841461 3653307 5682922 7306614 8524383 17048766 25573149 51146298