Search a number
-
+
49482240 = 293517379
BaseRepresentation
bin1011110011000…
…0101000000000
310110002221212120
42330300220000
5100131412430
64524324240
71140410043
oct274605000
9113087776
1049482240
1125a27815
12146a3680
13a336842
146800c5a
154526610
hex2f30a00

49482240 has 160 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 12386304.

The previous prime is 49482239. The next prime is 49482253. The reversal of 49482240 is 4228494.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130371 + ... + 130749.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 249482240 is an apocalyptic number.

49482240 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 49482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

49482240 is an abundant number, since it is smaller than the sum of its proper divisors (118453440).

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

49482240 is a wasteful number, since it uses less digits than its factorization.

49482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 49482240 is about 7034.3613782631. The cubic root of 49482240 is about 367.1271056789.

The spelling of 49482240 in words is "forty-nine million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 379 384 408 480 510 512 544 640 680 758 768 816 960 1020 1088 1137 1280 1360 1516 1536 1632 1895 1920 2040 2176 2274 2560 2720 3032 3264 3790 3840 4080 4352 4548 5440 5685 6064 6443 6528 7580 7680 8160 8704 9096 10880 11370 12128 12886 13056 15160 16320 18192 19329 21760 22740 24256 25772 26112 30320 32215 32640 36384 38658 43520 45480 48512 51544 60640 64430 65280 72768 77316 90960 96645 97024 103088 121280 128860 130560 145536 154632 181920 193290 194048 206176 242560 257720 291072 309264 363840 386580 412352 485120 515440 582144 618528 727680 773160 824704 970240 1030880 1237056 1455360 1546320 1649408 2061760 2474112 2910720 3092640 3298816 4123520 4948224 6185280 8247040 9896448 12370560 16494080 24741120 49482240