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49861320 = 23351921151
BaseRepresentation
bin1011111000110…
…1001011001000
310110211012212120
42332031023020
5100231030240
64540411240
71143546165
oct276151310
9113735776
1049861320
1126166603
1214846b20
13a43a252
14689d06c
15459dad0
hex2f8d2c8

49861320 has 96 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 12585600.

The previous prime is 49861307. The next prime is 49861321. The reversal of 49861320 is 2316894.

49861320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49861321) by changing a digit.

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, 42745 + ... + 43895.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 249861320 is an apocalyptic number.

49861320 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 49861320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

49861320 is an abundant number, since it is smaller than the sum of its proper divisors (108147000).

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

49861320 is a wasteful number, since it uses less digits than its factorization.

49861320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49861320 is about 7061.2548459888. The cubic root of 49861320 is about 368.0622334888.

The spelling of 49861320 in words is "forty-nine million, eight hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1151 1444 1805 2166 2280 2302 2888 3453 3610 4332 4604 5415 5755 6906 7220 8664 9208 10830 11510 13812 14440 17265 21660 21869 23020 27624 34530 43320 43738 46040 65607 69060 87476 109345 131214 138120 174952 218690 262428 328035 415511 437380 524856 656070 831022 874760 1246533 1312140 1662044 2077555 2493066 2624280 3324088 4155110 4986132 6232665 8310220 9972264 12465330 16620440 24930660 49861320