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49857720 = 233511107353
BaseRepresentation
bin1011111000110…
…0010010111000
310110211000221020
42332030102320
5100230421340
64540342440
71143532533
oct276142270
9113730836
1049857720
1126163930
1214844a20
13a438713
14689ba1a
15459c9d0
hex2f8c4b8

49857720 has 128 divisors (see below), whose sum is σ = 165162240. Its totient is φ = 11939840.

The previous prime is 49857713. The next prime is 49857733. The reversal of 49857720 is 2775894.

49857720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 70612-1.

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 31 ways as a sum of consecutive naturals, for example, 141064 + ... + 141416.

It is an arithmetic number, because the mean of its divisors is an integer number (1290330).

Almost surely, 249857720 is an apocalyptic number.

49857720 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 49857720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82581120).

49857720 is an abundant number, since it is smaller than the sum of its proper divisors (115304520).

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

49857720 is a wasteful number, since it uses less digits than its factorization.

49857720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 49857720 is about 7060.9999291885. Note that the first 4 decimals coincide. The cubic root of 49857720 is about 368.0533752133.

The spelling of 49857720 in words is "forty-nine million, eight hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 107 110 120 132 165 214 220 264 321 330 353 428 440 535 642 660 706 856 1059 1070 1177 1284 1320 1412 1605 1765 2118 2140 2354 2568 2824 3210 3530 3531 3883 4236 4280 4708 5295 5885 6420 7060 7062 7766 8472 9416 10590 11649 11770 12840 14120 14124 15532 17655 19415 21180 23298 23540 28248 31064 35310 37771 38830 42360 46596 47080 58245 70620 75542 77660 93192 113313 116490 141240 151084 155320 188855 226626 232980 302168 377710 415481 453252 465960 566565 755420 830962 906504 1133130 1246443 1510840 1661924 2077405 2266260 2492886 3323848 4154810 4532520 4985772 6232215 8309620 9971544 12464430 16619240 24928860 49857720