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51458268 = 22323375039
BaseRepresentation
bin1100010001001…
…1000011011100
310120211100110210
43010103003130
5101133131033
65034532420
71163250051
oct304230334
9116740423
1051458268
11270573a4
1215297110
13a8790a4
146b97028
1547b6d63
hex31130dc

51458268 has 48 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 15960384.

The previous prime is 51458261. The next prime is 51458299. The reversal of 51458268 is 86285415.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51458261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7693 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 251458268 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 51458268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

51458268 is an abundant number, since it is smaller than the sum of its proper divisors (77243172).

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

51458268 is a wasteful number, since it uses less digits than its factorization.

51458268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5104 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 51458268 is about 7173.4418517194. The cubic root of 51458268 is about 371.9504211877.

The spelling of 51458268 in words is "fifty-one million, four hundred fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5039 5106 10078 10212 15117 20156 30234 60468 115897 186443 231794 347691 372886 463588 559329 695382 745772 1118658 1390764 2237316 4288189 8576378 12864567 17152756 25729134 51458268