Search a number
-
+
49708000 = 255317243
BaseRepresentation
bin1011110110011…
…1101111100000
310110112102120001
42331213233200
5100211124000
64533225344
71142340166
oct275475740
9113472501
1049708000
11260713a1
1214792254
13a3b5524
14685d236
15456d46a
hex2f67be0

49708000 has 144 divisors (see below), whose sum is σ = 132756624. Its totient is φ = 18278400.

The previous prime is 49707997. The next prime is 49708007. The reversal of 49708000 is 80794.

It is a self number, because there is not a number n which added to its sum of digits gives 49708000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49708007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155979 + ... + 1156021.

It is an arithmetic number, because the mean of its divisors is an integer number (921921).

Almost surely, 249708000 is an apocalyptic number.

49708000 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 49708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66378312).

49708000 is an abundant number, since it is smaller than the sum of its proper divisors (83048624).

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

49708000 is a wasteful number, since it uses less digits than its factorization.

49708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 49708000 is about 7050.3900601314. The cubic root of 49708000 is about 367.6845911173.

Adding to 49708000 its reverse (80794), we get a palindrome (49788794).

The spelling of 49708000 in words is "forty-nine million, seven hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 43 50 68 80 85 86 100 125 136 160 170 172 200 215 250 272 289 340 344 400 425 430 500 544 578 680 688 731 800 850 860 1000 1075 1156 1360 1376 1445 1462 1700 1720 2000 2125 2150 2312 2720 2890 2924 3400 3440 3655 4000 4250 4300 4624 5375 5780 5848 6800 6880 7225 7310 8500 8600 9248 10750 11560 11696 12427 13600 14450 14620 17000 17200 18275 21500 23120 23392 24854 28900 29240 34000 34400 36125 36550 43000 46240 49708 57800 58480 62135 68000 72250 73100 86000 91375 99416 115600 116960 124270 144500 146200 172000 182750 198832 231200 248540 289000 292400 310675 365500 397664 497080 578000 584800 621350 731000 994160 1156000 1242700 1462000 1553375 1988320 2485400 2924000 3106750 4970800 6213500 9941600 12427000 24854000 49708000