Search a number
-
+
51021306 = 233743273
BaseRepresentation
bin1100001010100…
…0010111111010
310120000011002000
43002220113322
5101030140211
65021321430
71156450110
oct302502772
9116004060
1051021306
1126889076
1215106276
13a75522b
146ac1ab0
15472c656
hex30a85fa

51021306 has 96 divisors (see below), whose sum is σ = 134478720. Its totient is φ = 14043456.

The previous prime is 51021241. The next prime is 51021307. The reversal of 51021306 is 60312015.

51021306 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 (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51021307) 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, 698886 + ... + 698958.

It is an arithmetic number, because the mean of its divisors is an integer number (1400820).

Almost surely, 251021306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51021306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67239360).

51021306 is an abundant number, since it is smaller than the sum of its proper divisors (83457414).

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

51021306 is a wasteful number, since it uses less digits than its factorization.

51021306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51021306 is about 7142.9199911521. The cubic root of 51021306 is about 370.8946114393.

The spelling of 51021306 in words is "fifty-one million, twenty-one thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 73 86 126 129 146 189 219 258 301 378 387 438 511 602 657 774 903 1022 1161 1314 1533 1806 1849 1971 2322 2709 3066 3139 3698 3942 4599 5418 5547 6278 8127 9198 9417 11094 12943 13797 16254 16641 18834 21973 25886 27594 28251 33282 38829 43946 49923 56502 65919 77658 84753 99846 116487 131838 134977 169506 197757 232974 269954 349461 395514 404931 593271 698922 809862 944839 1186542 1214793 1889678 2429586 2834517 3644379 5669034 7288758 8503551 17007102 25510653 51021306