Search a number
-
+
49884240 = 24357231291
BaseRepresentation
bin1011111001001…
…0110001010000
310110212101022110
42332102301100
5100232243430
64541105320
71144003050
oct276226120
9113771273
1049884240
112618184a
1214858240
13a447803
1468a7560
1545a57b0
hex2f92c50

49884240 has 160 divisors (see below), whose sum is σ = 184559616. Its totient is φ = 10897920.

The previous prime is 49884227. The next prime is 49884281. The reversal of 49884240 is 4248894.

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, 37995 + ... + 39285.

Almost surely, 249884240 is an apocalyptic number.

49884240 is a gapful number since it is divisible by the number (40) 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 49884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92279808).

49884240 is an abundant number, since it is smaller than the sum of its proper divisors (134675376).

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

49884240 is a wasteful number, since it uses less digits than its factorization.

49884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 49884240 is about 7062.8776005252. The cubic root of 49884240 is about 368.1186211798.

The spelling of 49884240 in words is "forty-nine million, eight hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1291 1380 1610 1680 1840 1932 2415 2576 2582 2760 3220 3864 3873 4830 5164 5520 6440 6455 7728 7746 9037 9660 10328 12880 12910 15492 18074 19320 19365 20656 25820 27111 29693 30984 36148 38640 38730 45185 51640 54222 59386 61968 72296 77460 89079 90370 103280 108444 118772 135555 144592 148465 154920 178158 180740 207851 216888 237544 271110 296930 309840 356316 361480 415702 433776 445395 475088 542220 593860 623553 712632 722960 831404 890790 1039255 1084440 1187720 1247106 1425264 1662808 1781580 2078510 2168880 2375440 2494212 3117765 3325616 3563160 4157020 4988424 6235530 7126320 8314040 9976848 12471060 16628080 24942120 49884240