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48883464 = 23327234217
BaseRepresentation
bin1011101001111…
…0011100001000
310101222112111200
42322132130020
5100003232324
64503424200
71132334250
oct272363410
9111875450
1048883464
1125658963
1214455060
13a187136
1466c6960
154458ec9
hex2e9e708

48883464 has 96 divisors (see below), whose sum is σ = 157921920. Its totient is φ = 13356288.

The previous prime is 48883463. The next prime is 48883481. The reversal of 48883464 is 46438884.

48883464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48883463) by changing a digit.

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, 9484 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (1645020).

Almost surely, 248883464 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 48883464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78960960).

48883464 is an abundant number, since it is smaller than the sum of its proper divisors (109038456).

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

48883464 is a wasteful number, since it uses less digits than its factorization.

48883464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4252 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48883464 is about 6991.6710448933. The cubic root of 48883464 is about 365.6402449046.

The spelling of 48883464 in words is "forty-eight million, eight hundred eighty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 4217 5796 8434 11592 12651 16868 25302 29519 33736 37953 50604 59038 75906 88557 96991 101208 118076 151812 177114 193982 236152 265671 290973 303624 354228 387964 531342 581946 678937 708456 775928 872919 1062684 1163892 1357874 1745838 2036811 2125368 2327784 2715748 3491676 4073622 5431496 6110433 6983352 8147244 12220866 16294488 24441732 48883464