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48683040 = 2535714489
BaseRepresentation
bin1011100110110…
…1100000100000
310101121100120120
42321231200200
544430324130
64455240240
71130541030
oct271554040
9111540516
1048683040
112553131a
1214379080
13a116b43
1466738c0
154419910
hex2e6d820

48683040 has 96 divisors (see below), whose sum is σ = 175271040. Its totient is φ = 11126784.

The previous prime is 48683029. The next prime is 48683093. The reversal of 48683040 is 4038684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 48682992 and 48683010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3885 + ... + 10604.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 248683040 is an apocalyptic number.

48683040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48683040 is an abundant number, since it is smaller than the sum of its proper divisors (126588000).

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

48683040 is a wasteful number, since it uses less digits than its factorization.

48683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14514 (or 14506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48683040 is about 6977.3232689908. The cubic root of 48683040 is about 365.1398475811.

The spelling of 48683040 in words is "forty-eight million, six hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 14489 28978 43467 57956 72445 86934 101423 115912 144890 173868 202846 217335 231824 289780 304269 347736 405692 434670 463648 507115 579560 608538 695472 811384 869340 1014230 1159120 1217076 1390944 1521345 1622768 1738680 2028460 2318240 2434152 3042690 3245536 3477360 4056920 4868304 6085380 6954720 8113840 9736608 12170760 16227680 24341520 48683040