Search a number
-
+
50042928 = 24313231199
BaseRepresentation
bin1011111011100…
…1100000110000
310111011102222210
42332321200300
5100302333203
64544332120
71145233515
oct276714060
9114142883
1050042928
112627aaa1
1214914040
13a4a1b00
14690930c
1545d7803
hex2fb9830

50042928 has 120 divisors (see below), whose sum is σ = 145228800. Its totient is φ = 14826240.

The previous prime is 50042899. The next prime is 50042929. The reversal of 50042928 is 82924005.

50042928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 50042895 and 50042904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50042929) 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 23 ways as a sum of consecutive naturals, for example, 251373 + ... + 251571.

It is an arithmetic number, because the mean of its divisors is an integer number (1210240).

Almost surely, 250042928 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 50042928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72614400).

50042928 is an abundant number, since it is smaller than the sum of its proper divisors (95185872).

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

50042928 is a wasteful number, since it uses less digits than its factorization.

50042928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 50042928 is about 7074.1026286024. The cubic root of 50042928 is about 368.5085517746.

The spelling of 50042928 in words is "fifty million, forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 199 208 248 312 338 372 398 403 496 507 597 624 676 744 796 806 1014 1194 1209 1352 1488 1592 1612 2028 2388 2418 2587 2704 3184 3224 4056 4776 4836 5174 5239 6169 6448 7761 8112 9552 9672 10348 10478 12338 15522 15717 18507 19344 20696 20956 24676 31044 31434 33631 37014 41392 41912 49352 62088 62868 67262 74028 80197 83824 98704 100893 124176 125736 134524 148056 160394 201786 240591 251472 269048 296112 320788 403572 481182 538096 641576 807144 962364 1042561 1283152 1614288 1924728 2085122 3127683 3849456 4170244 6255366 8340488 12510732 16680976 25021464 50042928