Search a number
-
+
49990752 = 25327137181
BaseRepresentation
bin1011111010110…
…0110001100000
310111001210102100
42332230301200
5100244201002
64543250400
71144625430
oct276546140
9114053370
1049990752
1126244879
12148a9a00
13a484136
1468d42c0
1545c711c
hex2facc60

49990752 has 144 divisors (see below), whose sum is σ = 164560032. Its totient is φ = 14100480.

The previous prime is 49990747. The next prime is 49990771. The reversal of 49990752 is 25709994.

49990752 is a `hidden beast` number, since 499 + 90 + 75 + 2 = 666.

49990752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 49990698 and 49990707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276102 + ... + 276282.

It is an arithmetic number, because the mean of its divisors is an integer number (1142778).

Almost surely, 249990752 is an apocalyptic number.

49990752 is a gapful number since it is divisible by the number (42) 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 49990752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82280016).

49990752 is an abundant number, since it is smaller than the sum of its proper divisors (114569280).

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

49990752 is a wasteful number, since it uses less digits than its factorization.

49990752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 49990752 is about 7070.4138492736. The cubic root of 49990752 is about 368.3804351813.

The spelling of 49990752 in words is "forty-nine million, nine hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 168 181 224 252 274 288 336 362 411 504 543 548 672 724 822 959 1008 1086 1096 1233 1267 1448 1629 1644 1918 2016 2172 2192 2466 2534 2877 2896 3258 3288 3801 3836 4344 4384 4932 5068 5754 5792 6516 6576 7602 7672 8631 8688 9864 10136 11403 11508 13032 13152 15204 15344 17262 17376 19728 20272 22806 23016 24797 26064 30408 30688 34524 39456 40544 45612 46032 49594 52128 60816 69048 74391 91224 92064 99188 121632 138096 148782 173579 182448 198376 223173 276192 297564 347158 364896 396752 446346 520737 595128 694316 793504 892692 1041474 1190256 1388632 1562211 1785384 2082948 2380512 2777264 3124422 3570768 4165896 5554528 6248844 7141536 8331792 12497688 16663584 24995376 49990752