Search a number
-
+
50823540 = 22325172977
BaseRepresentation
bin1100000111100…
…0000101110100
310112122002210100
43001320011310
5101002323130
65013154100
71154664405
oct301700564
9115562710
1050823540
1126763529
121502b930
13a6b6201
146a6d9ac
1546ddc60
hex3078174

50823540 has 108 divisors (see below), whose sum is σ = 163934316. Its totient is φ = 12742656.

The previous prime is 50823527. The next prime is 50823547. The reversal of 50823540 is 4532805.

It can be written as a sum of positive squares in 6 ways, for example, as 11209104 + 39614436 = 3348^2 + 6294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50823547) 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 35 ways as a sum of consecutive naturals, for example, 51532 + ... + 52508.

Almost surely, 250823540 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 50823540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81967158).

50823540 is an abundant number, since it is smaller than the sum of its proper divisors (113110776).

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

50823540 is a wasteful number, since it uses less digits than its factorization.

50823540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 50823540 is about 7129.0630520427. The cubic root of 50823540 is about 370.4147771224.

The spelling of 50823540 in words is "fifty million, eight hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 977 1020 1156 1445 1530 1734 1954 2601 2890 2931 3060 3468 3908 4335 4885 5202 5780 5862 8670 8793 9770 10404 11724 13005 14655 16609 17340 17586 19540 26010 29310 33218 35172 43965 49827 52020 58620 66436 83045 87930 99654 149481 166090 175860 199308 249135 282353 298962 332180 498270 564706 597924 747405 847059 996540 1129412 1411765 1494810 1694118 2541177 2823530 2989620 3388236 4235295 5082354 5647060 8470590 10164708 12705885 16941180 25411770 50823540