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48277284 = 22311487751
BaseRepresentation
bin1011100000101…
…0011100100100
310100211201222120
42320022130210
544324333114
64442425540
71124231046
oct270123444
9110751876
1048277284
1125284490
12142022b0
13a004253
1465a9a96
1543895a9
hex2e0a724

48277284 has 48 divisors (see below), whose sum is σ = 123303936. Its totient is φ = 14580000.

The previous prime is 48277279. The next prime is 48277301.

48277284 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 63909 + ... + 64659.

It is an arithmetic number, because the mean of its divisors is an integer number (2568832).

Almost surely, 248277284 is an apocalyptic number.

48277284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48277284 is an abundant number, since it is smaller than the sum of its proper divisors (75026652).

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

48277284 is a wasteful number, since it uses less digits than its factorization.

48277284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 48277284 is about 6948.1856624589. The cubic root of 48277284 is about 364.1225787703.

The spelling of 48277284 in words is "forty-eight million, two hundred seventy-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 487 751 974 1461 1502 1948 2253 2922 3004 4506 5357 5844 8261 9012 10714 16071 16522 21428 24783 32142 33044 49566 64284 99132 365737 731474 1097211 1462948 2194422 4023107 4388844 8046214 12069321 16092428 24138642 48277284