Search a number
-
+
50311044 = 2234723169
BaseRepresentation
bin1011111111101…
…0111110000100
310111200001210000
42333322332010
5100334423134
64554201300
71150431300
oct277727604
9114601700
1050311044
1126443483
1214a23230
13a566b64
146978d00
15463be99
hex2ffaf84

50311044 has 90 divisors (see below), whose sum is σ = 153044430. Its totient is φ = 14370048.

The previous prime is 50311043. The next prime is 50311057. The reversal of 50311044 is 44011305.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 2286144 = 6930^2 + 1512^2 .

It is a super-2 number, since 2×503110442 = 5062402296739872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (50311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14292 + ... + 17460.

Almost surely, 250311044 is an apocalyptic number.

50311044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50311044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76522215).

50311044 is an abundant number, since it is smaller than the sum of its proper divisors (102733386).

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

50311044 is a wasteful number, since it uses less digits than its factorization.

50311044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50311044 is about 7093.0278442989. The cubic root of 50311044 is about 369.1655018050.

Adding to 50311044 its reverse (44011305), we get a palindrome (94322349).

The spelling of 50311044 in words is "fifty million, three hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3169 3969 5292 6338 7938 9507 12676 15876 19014 22183 28521 38028 44366 57042 66549 85563 88732 114084 133098 155281 171126 199647 256689 266196 310562 342252 399294 465843 513378 598941 621124 798588 931686 1026756 1197882 1397529 1796823 1863372 2395764 2795058 3593646 4192587 5590116 7187292 8385174 12577761 16770348 25155522 50311044