Search a number
-
+
50442588 = 2234723967
BaseRepresentation
bin1100000001101…
…1000101011100
310111220202020000
43000123011130
5100403130323
65001054300
71151516640
oct300330534
9114822200
1050442588
1126523299
1214a87390
13a5b19b1
1469b0c20
154665e43
hex301b15c

50442588 has 120 divisors (see below), whose sum is σ = 157420032. Its totient is φ = 13771296.

The previous prime is 50442577. The next prime is 50442599. The reversal of 50442588 is 88524405.

It is an interprime number because it is at equal distance from previous prime (50442577) and next prime (50442599).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 51681 + ... + 52647.

Almost surely, 250442588 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 50442588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78710016).

50442588 is an abundant number, since it is smaller than the sum of its proper divisors (106977444).

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

50442588 is a wasteful number, since it uses less digits than its factorization.

50442588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 50442588 is about 7102.2945588028. The cubic root of 50442588 is about 369.4869636622.

The spelling of 50442588 in words is "fifty million, four hundred forty-two thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 967 1134 1242 1449 1863 1932 1934 2268 2484 2898 2901 3726 3868 4347 5796 5802 6769 7452 8694 8703 11604 13041 13538 17388 17406 20307 22241 26082 26109 27076 34812 40614 44482 52164 52218 60921 66723 78327 81228 88964 104436 121842 133446 155687 156654 182763 200169 243684 266892 311374 313308 365526 400338 467061 548289 600507 622748 731052 800676 934122 1096578 1201014 1401183 1801521 1868244 2193156 2402028 2802366 3603042 4203549 5604732 7206084 8407098 12610647 16814196 25221294 50442588