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48488484 = 223111013637
BaseRepresentation
bin1011100011111…
…0000000100100
310101020110200210
42320332000210
544403112414
64451135420
71126100562
oct270760044
9111213623
1048488484
1125409130
12142a4570
13a079415
146622a32
1543cbe59
hex2e3e024

48488484 has 48 divisors (see below), whose sum is σ = 124681536. Its totient is φ = 14544000.

The previous prime is 48488483. The next prime is 48488507.

It is a happy number.

48488484 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×484884842 = 4702266161236512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48488483) 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 15 ways as a sum of consecutive naturals, for example, 11514 + ... + 15150.

It is an arithmetic number, because the mean of its divisors is an integer number (2597532).

Almost surely, 248488484 is an apocalyptic number.

48488484 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 48488484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62340768).

48488484 is an abundant number, since it is smaller than the sum of its proper divisors (76193052).

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

48488484 is a wasteful number, since it uses less digits than its factorization.

48488484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3754 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 48488484 is about 6963.3672888912. The cubic root of 48488484 is about 364.6527854655.

Multiplying 48488484 by its sum of digits (48), we get a palindrome (2327447232).

The spelling of 48488484 in words is "forty-eight million, four hundred eighty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 3637 4444 6666 7274 10911 13332 14548 21822 40007 43644 80014 120021 160028 240042 367337 480084 734674 1102011 1469348 2204022 4040707 4408044 8081414 12122121 16162828 24244242 48488484