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48082188 = 223711173061
BaseRepresentation
bin1011011101101…
…0110100001100
310100110211100210
42313122310030
544302112223
64434322420
71122456210
oct267326414
9110424323
1048082188
1125160950
1214129410
139c664cb
146558940
15434b893
hex2ddad0c

48082188 has 96 divisors (see below), whose sum is σ = 148151808. Its totient is φ = 11750400.

The previous prime is 48082187. The next prime is 48082201. The reversal of 48082188 is 88128084.

It is a super-3 number, since 3×480821883 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48082187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14178 + ... + 17238.

It is an arithmetic number, because the mean of its divisors is an integer number (1543248).

Almost surely, 248082188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48082188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74075904).

48082188 is an abundant number, since it is smaller than the sum of its proper divisors (100069620).

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

48082188 is a wasteful number, since it uses less digits than its factorization.

48082188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 48082188 is about 6934.1321014241. The cubic root of 48082188 is about 363.6314246072.

It can be divided in two parts, 4808 and 2188, that added together give a palindrome (6996).

The spelling of 48082188 in words is "forty-eight million, eighty-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3061 3927 5236 6122 7854 9183 12244 15708 18366 21427 33671 36732 42854 52037 64281 67342 85708 101013 104074 128562 134684 156111 202026 208148 235697 257124 312222 364259 404052 471394 572407 624444 707091 728518 942788 1092777 1144814 1414182 1457036 1717221 2185554 2289628 2828364 3434442 4006849 4371108 6868884 8013698 12020547 16027396 24041094 48082188