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48453328 = 2471167587
BaseRepresentation
bin1011100011010…
…1011011010000
310101011200110201
42320311123100
544401001303
64450304544
71125563230
oct270653320
9111150421
1048453328
1125394780
1214288154
13a066411
146613cc0
1543c181d
hex2e356d0

48453328 has 80 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 18564480.

The previous prime is 48453277. The next prime is 48453329. The reversal of 48453328 is 82335484.

48453328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48453329) 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 15 ways as a sum of consecutive naturals, for example, 82251 + ... + 82837.

Almost surely, 248453328 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 48453328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

48453328 is an abundant number, since it is smaller than the sum of its proper divisors (70539056).

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

48453328 is a wasteful number, since it uses less digits than its factorization.

48453328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 48453328 is about 6960.8424777465. The cubic root of 48453328 is about 364.5646350995.

The spelling of 48453328 in words is "forty-eight million, four hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 67 77 88 112 134 154 176 268 308 469 536 587 616 737 938 1072 1174 1232 1474 1876 2348 2948 3752 4109 4696 5159 5896 6457 7504 8218 9392 10318 11792 12914 16436 20636 25828 32872 39329 41272 45199 51656 65744 78658 82544 90398 103312 157316 180796 275303 314632 361592 432619 550606 629264 723184 865238 1101212 1730476 2202424 3028333 3460952 4404848 6056666 6921904 12113332 24226664 48453328