Search a number
-
+
48402585 = 32571161229
BaseRepresentation
bin1011100010100…
…1000010011001
310101002002212100
42320221002121
544342340320
64445234013
71125262260
oct270510231
9111062770
1048402585
112535a640
1214262909
13a0492aa
1465dd5d7
1543b1790
hex2e29099

48402585 has 96 divisors (see below), whose sum is σ = 106778880. Its totient is φ = 19699200.

The previous prime is 48402583. The next prime is 48402611. The reversal of 48402585 is 58520484.

It is not a de Polignac number, because 48402585 - 21 = 48402583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48402581) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 211251 + ... + 211479.

It is an arithmetic number, because the mean of its divisors is an integer number (1112280).

Almost surely, 248402585 is an apocalyptic number.

48402585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48402585 is an abundant number, since it is smaller than the sum of its proper divisors (58376295).

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

48402585 is a wasteful number, since it uses less digits than its factorization.

48402585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 48402585 is about 6957.1966337024. The cubic root of 48402585 is about 364.4373265769.

The spelling of 48402585 in words is "forty-eight million, four hundred two thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 61 63 77 99 105 165 183 229 231 305 315 385 427 495 549 671 687 693 915 1145 1155 1281 1603 2013 2061 2135 2519 2745 3355 3435 3465 3843 4697 4809 6039 6405 7557 8015 10065 10305 12595 13969 14091 14427 17633 19215 22671 23485 24045 30195 37785 41907 42273 52899 69845 70455 72135 88165 97783 113355 125721 153659 158697 209535 211365 264495 293349 460977 488915 628605 768295 793485 880047 1075613 1382931 1466745 2304885 3226839 4400235 5378065 6914655 9680517 16134195 48402585