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48981328 = 2411535989
BaseRepresentation
bin1011101011011…
…0010101010000
310102011111202021
42322312111100
5100014400303
64505501224
71133222464
oct272662520
9112144667
1048981328
1125715440
12144a1814
13a1bc846
1467104a4
154477ebd
hex2eb6550

48981328 has 80 divisors (see below), whose sum is σ = 108475200. Its totient is φ = 21232640.

The previous prime is 48981313. The next prime is 48981367. The reversal of 48981328 is 82318984.

48981328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 550308 + ... + 550396.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940).

Almost surely, 248981328 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 48981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54237600).

48981328 is an abundant number, since it is smaller than the sum of its proper divisors (59493872).

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

48981328 is a wasteful number, since it uses less digits than its factorization.

48981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 48981328 is about 6998.6661586334. Note that the first 3 decimals coincide. The cubic root of 48981328 is about 365.8840844466.

It can be divided in two parts, 4898 and 1328, that added together give a palindrome (6226).

The spelling of 48981328 in words is "forty-eight million, nine hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 53 59 88 89 106 118 176 178 212 236 356 424 472 583 649 712 848 944 979 1166 1298 1424 1958 2332 2596 3127 3916 4664 4717 5192 5251 6254 7832 9328 9434 10384 10502 12508 15664 18868 21004 25016 34397 37736 42008 50032 51887 57761 68794 75472 84016 103774 115522 137588 207548 231044 275176 278303 415096 462088 550352 556606 830192 924176 1113212 2226424 3061333 4452848 6122666 12245332 24490664 48981328