Search a number
-
+
49780836 = 223271937281
BaseRepresentation
bin1011110111100…
…1100001100100
310110200010110200
42331321201210
5100220441321
64534550500
71143062430
oct275714144
9113603420
1049780836
1126111096
1214808430
13a40c721
14687b9c0
154584d26
hex2f79864

49780836 has 144 divisors (see below), whose sum is σ = 156024960. Its totient is φ = 13063680.

The previous prime is 49780831. The next prime is 49780867. The reversal of 49780836 is 63808794.

It is a happy number.

49780836 is a `hidden beast` number, since 497 + 80 + 83 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49780791 and 49780800.

It is not an unprimeable number, because it can be changed into a prime (49780831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177016 + ... + 177296.

Almost surely, 249780836 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 49780836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78012480).

49780836 is an abundant number, since it is smaller than the sum of its proper divisors (106244124).

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

49780836 is a wasteful number, since it uses less digits than its factorization.

49780836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 49780836 is about 7055.5535573051. The cubic root of 49780836 is about 367.8640900923.

The spelling of 49780836 in words is "forty-nine million, seven hundred eighty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 37 38 42 57 63 74 76 84 111 114 126 133 148 171 222 228 252 259 266 281 333 342 399 444 518 532 562 666 684 703 777 798 843 1036 1124 1197 1332 1406 1554 1596 1686 1967 2109 2331 2394 2529 2812 3108 3372 3934 4218 4662 4788 4921 5058 5339 5901 6327 7868 8436 9324 9842 10116 10397 10678 11802 12654 14763 16017 17703 19684 20794 21356 23604 25308 29526 31191 32034 35406 37373 41588 44289 48051 59052 62382 64068 70812 72779 74746 88578 93573 96102 112119 124764 145558 149492 177156 187146 192204 197543 218337 224238 291116 336357 374292 395086 436674 448476 592629 655011 672714 790172 873348 1185258 1310022 1345428 1382801 1777887 2370516 2620044 2765602 3555774 4148403 5531204 7111548 8296806 12445209 16593612 24890418 49780836