Search a number
-
+
49035938364 = 22327250815471
BaseRepresentation
bin101101101010110001…
…010000101000111100
311200120101202202200100
4231222301100220330
51300411200011424
634305442201100
73354104412300
oct555261205074
9150511682610
1049035938364
11198835662a6
129606053190
13481610675a
142532699d00
15141ee11dc9
hexb6ac50a3c

49035938364 has 108 divisors (see below), whose sum is σ = 144243747648. Its totient is φ = 14004950400.

The previous prime is 49035938323. The next prime is 49035938401. The reversal of 49035938364 is 46383953094.

49035938364 is a `hidden beast` number, since 49 + 0 + 3 + 593 + 8 + 3 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49035938364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8960149 + ... + 8965619.

It is an arithmetic number, because the mean of its divisors is an integer number (1335590256).

Almost surely, 249035938364 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 49035938364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72121873824).

49035938364 is an abundant number, since it is smaller than the sum of its proper divisors (95207809284).

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

49035938364 is a wasteful number, since it uses less digits than its factorization.

49035938364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 49035938364 in words is "forty-nine billion, thirty-five million, nine hundred thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5081 5471 10162 10942 15243 16413 20324 21884 30486 32826 35567 38297 45729 49239 60972 65652 71134 76594 91458 98478 106701 114891 142268 153188 182916 196956 213402 229782 248969 268079 320103 344673 426804 459564 497938 536158 640206 689346 746907 804237 995876 1072316 1280412 1378692 1493814 1608474 2240721 2412711 2987628 3216948 4481442 4825422 8962884 9650844 27798151 55596302 83394453 111192604 166788906 194587057 250183359 333577812 389174114 500366718 583761171 778348228 1000733436 1167522342 1362109399 1751283513 2335044684 2724218798 3502567026 4086328197 5448437596 7005134052 8172656394 12258984591 16345312788 24517969182 49035938364