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48055084 = 22721131719
BaseRepresentation
bin1011011101010…
…0001100101100
310100102110011221
42313110030230
544300230314
64433553124
71122314200
oct267241454
9110373157
1048055084
1125142550
12141157a4
139c5707c
14654cb00
154343824
hex2dd432c

48055084 has 72 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 18093600.

The previous prime is 48055043. The next prime is 48055099.

48055084 is nontrivially palindromic in base 10.

48055084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66477 + ... + 67195.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 248055084 is an apocalyptic number.

48055084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48055084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

48055084 is an abundant number, since it is smaller than the sum of its proper divisors (62260436).

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

48055084 is a wasteful number, since it uses less digits than its factorization.

48055084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 48055084 is about 6932.1774356980. The cubic root of 48055084 is about 363.5630852418.

It can be divided in two parts, 4805 and 5084, that added together give a palindrome (9889).

The spelling of 48055084 in words is "forty-eight million, fifty-five thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 434 539 682 719 868 1078 1364 1438 1519 2156 2387 2876 3038 4774 5033 6076 7909 9548 10066 15818 16709 20132 22289 31636 33418 35231 44578 55363 66836 70462 89156 110726 140924 156023 221452 245179 312046 387541 490358 624092 775082 980716 1092161 1550164 1716253 2184322 3432506 4368644 6865012 12013771 24027542 48055084