Search a number
-
+
50675040 = 25325132707
BaseRepresentation
bin1100000101001…
…1110101100000
310112100120002100
43001103311200
5100433100130
65010050400
71153505433
oct301236540
9115316070
1050675040
11266719a9
1214b79a00
13a663740
146a3181a
1546aec60
hex3053d60

50675040 has 144 divisors (see below), whose sum is σ = 186299568. Its totient is φ = 12469248.

The previous prime is 50675029. The next prime is 50675059. The reversal of 50675040 is 4057605.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 50674995 and 50675013.

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 23 ways as a sum of consecutive naturals, for example, 17367 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (1293747).

Almost surely, 250675040 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 50675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93149784).

50675040 is an abundant number, since it is smaller than the sum of its proper divisors (135624528).

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

50675040 is a wasteful number, since it uses less digits than its factorization.

50675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 50675040 is about 7118.6403196116. The cubic root of 50675040 is about 370.0536566937.

The spelling of 50675040 in words is "fifty million, six hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 2707 3120 3744 4680 5414 6240 8121 9360 10828 13535 16242 18720 21656 24363 27070 32484 35191 40605 43312 48726 54140 64968 70382 81210 86624 97452 105573 108280 121815 129936 140764 162420 175955 194904 211146 216560 243630 259872 281528 316719 324840 351910 389808 422292 433120 487260 527865 563056 633438 649680 703820 779616 844584 974520 1055730 1126112 1266876 1299360 1407640 1583595 1689168 1949040 2111460 2533752 2815280 3167190 3378336 3898080 4222920 5067504 5630560 6334380 8445840 10135008 12668760 16891680 25337520 50675040