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48483344 = 2472136771
BaseRepresentation
bin1011100011110…
…0110000010000
310101020012122102
42320330300100
544402431334
64451055532
71126046600
oct270746020
9111205572
1048483344
1125405288
12142a15a8
13a076c90
146620c00
1543ca67e
hex2e3cc10

48483344 has 120 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 18627840.

The previous prime is 48483343. The next prime is 48483377. The reversal of 48483344 is 44338484.

It is a junction number, because it is equal to n+sod(n) for n = 48483298 and 48483307.

It is not an unprimeable number, because it can be changed into a prime (48483343) 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 23 ways as a sum of consecutive naturals, for example, 682829 + ... + 682899.

Almost surely, 248483344 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 48483344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

48483344 is an abundant number, since it is smaller than the sum of its proper divisors (72633904).

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

48483344 is a wasteful number, since it uses less digits than its factorization.

48483344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 48483344 is about 6962.9982047966. The cubic root of 48483344 is about 364.6399000585.

It can be divided in two parts, 4848 and 3344, that added together give a 13-th power (8192 = 213).

The spelling of 48483344 in words is "forty-eight million, four hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 67 71 91 98 104 112 134 142 182 196 208 268 284 364 392 469 497 536 568 637 728 784 871 923 938 994 1072 1136 1274 1456 1742 1846 1876 1988 2548 3283 3479 3484 3692 3752 3976 4757 5096 6097 6461 6566 6958 6968 7384 7504 7952 9514 10192 12194 12922 13132 13916 13936 14768 19028 24388 25844 26264 27832 33299 38056 42679 45227 48776 51688 52528 55664 61841 66598 76112 85358 90454 97552 103376 123682 133196 170716 180908 233093 247364 266392 341432 361816 432887 466186 494728 532784 682864 723632 865774 932372 989456 1731548 1864744 3030209 3463096 3729488 6060418 6926192 12120836 24241672 48483344