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48846105 = 33571137127
BaseRepresentation
bin1011101001010…
…1010100011001
310101220122021000
42322111110121
5100001033410
64502535213
71132120320
oct272252431
9111818230
1048846105
1125632890
1214437509
13a173129
1466b70b7
15444cdc0
hex2e95519

48846105 has 128 divisors (see below), whose sum is σ = 112066560. Its totient is φ = 19595520.

The previous prime is 48846079. The next prime is 48846107. The reversal of 48846105 is 50164884.

48846105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48846105 - 25 = 48846073 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48846105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48846107) 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 127 ways as a sum of consecutive naturals, for example, 384552 + ... + 384678.

It is an arithmetic number, because the mean of its divisors is an integer number (875520).

Almost surely, 248846105 is an apocalyptic number.

48846105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48846105 is an abundant number, since it is smaller than the sum of its proper divisors (63220455).

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

48846105 is a wasteful number, since it uses less digits than its factorization.

48846105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48846105 is about 6988.9988553440. The cubic root of 48846105 is about 365.5470747803.

The spelling of 48846105 in words is "forty-eight million, eight hundred forty-six thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 37 45 55 63 77 99 105 111 127 135 165 185 189 231 259 297 315 333 381 385 407 495 555 635 693 777 889 945 999 1143 1155 1221 1295 1397 1485 1665 1905 2035 2079 2331 2667 2849 3429 3465 3663 3885 4191 4445 4699 4995 5715 6105 6985 6993 8001 8547 9779 10395 10989 11655 12573 13335 14097 14245 17145 18315 20955 23495 24003 25641 29337 32893 34965 37719 40005 42291 42735 48895 51689 54945 62865 70485 76923 88011 98679 120015 126873 128205 146685 155067 164465 188595 211455 258445 264033 296037 361823 384615 440055 465201 493395 634365 775335 888111 1085469 1320165 1395603 1480185 1809115 2326005 3256407 4440555 5427345 6978015 9769221 16282035 48846105