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48082086 = 2341317279
BaseRepresentation
bin1011011101101…
…0110010100110
310100110211020000
42313122302212
544302111321
64434322130
71122456003
oct267326246
9110424200
1048082086
1125160868
1214129346
139c66450
1465588aa
15434b826
hex2ddaca6

48082086 has 120 divisors (see below), whose sum is σ = 124813920. Its totient is φ = 13747968.

The previous prime is 48082061. The next prime is 48082093. The reversal of 48082086 is 68028084.

It is a super-3 number, since 3×480820863 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48082086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 608595 + ... + 608673.

It is an arithmetic number, because the mean of its divisors is an integer number (1040116).

Almost surely, 248082086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48082086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62406960).

48082086 is an abundant number, since it is smaller than the sum of its proper divisors (76731834).

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

48082086 is a wasteful number, since it uses less digits than its factorization.

48082086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48082086 is about 6934.1247464983. The cubic root of 48082086 is about 363.6311674750.

The spelling of 48082086 in words is "forty-eight million, eighty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 79 81 102 117 153 158 162 221 234 237 289 306 351 442 459 474 578 663 702 711 867 918 1027 1053 1326 1343 1377 1422 1734 1989 2054 2106 2133 2601 2686 2754 3081 3757 3978 4029 4266 5202 5967 6162 6399 7514 7803 8058 9243 11271 11934 12087 12798 15606 17459 17901 18486 22542 22831 23409 24174 27729 33813 34918 35802 36261 45662 46818 52377 55458 67626 68493 72522 83187 101439 104754 108783 136986 157131 166374 202878 205479 217566 296803 304317 314262 410958 471393 593606 608634 616437 890409 942786 1232874 1414179 1780818 1849311 2671227 2828358 3698622 5342454 8013681 16027362 24041043 48082086