Search a number
-
+
50409840 = 243513107151
BaseRepresentation
bin1100000001001…
…1000101110000
310111212002022010
43000103011300
5100401103330
65000242520
71151322315
oct300230560
9114762263
1050409840
1126500728
1214a70440
13a59cb10
1469a2d0c
15465b3b0
hex3013170

50409840 has 160 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 12211200.

The previous prime is 50409823. The next prime is 50409883. The reversal of 50409840 is 4890405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 50409798 and 50409807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333765 + ... + 333915.

Almost surely, 250409840 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 50409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

50409840 is an abundant number, since it is smaller than the sum of its proper divisors (120579216).

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

50409840 is a wasteful number, since it uses less digits than its factorization.

50409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

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

The square root of 50409840 is about 7099.9887323854. The cubic root of 50409840 is about 369.4069877331.

The spelling of 50409840 in words is "fifty million, four hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 107 120 130 151 156 195 208 214 240 260 302 312 321 390 428 453 520 535 604 624 642 755 780 856 906 1040 1070 1208 1284 1391 1510 1560 1605 1712 1812 1963 2140 2265 2416 2568 2782 3020 3120 3210 3624 3926 4173 4280 4530 5136 5564 5889 6040 6420 6955 7248 7852 8346 8560 9060 9815 11128 11778 12080 12840 13910 15704 16157 16692 18120 19630 20865 22256 23556 25680 27820 29445 31408 32314 33384 36240 39260 41730 47112 48471 55640 58890 64628 66768 78520 80785 83460 94224 96942 111280 117780 129256 157040 161570 166920 193884 210041 235560 242355 258512 323140 333840 387768 420082 471120 484710 630123 646280 775536 840164 969420 1050205 1260246 1292560 1680328 1938840 2100410 2520492 3150615 3360656 3877680 4200820 5040984 6301230 8401640 10081968 12602460 16803280 25204920 50409840