Search a number
-
+
48528832 = 2611292377
BaseRepresentation
bin1011100100011…
…1110111000000
310101022112001011
42321013313000
544410410312
64452050304
71126326322
oct271076700
9111275034
1048528832
1125436480
1214303994
13a0918b1
146633612
1543d8da7
hex2e47dc0

48528832 has 56 divisors (see below), whose sum is σ = 108722160. Its totient is φ = 21288960.

The previous prime is 48528817. The next prime is 48528839. The reversal of 48528832 is 23882584.

48528832 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 (48528839) 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 7 ways as a sum of consecutive naturals, for example, 19228 + ... + 21604.

Almost surely, 248528832 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 48528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54361080).

48528832 is an abundant number, since it is smaller than the sum of its proper divisors (60193328).

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

48528832 is a wasteful number, since it uses less digits than its factorization.

48528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2419 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 48528832 is about 6966.2638480035. The cubic root of 48528832 is about 364.7539017876.

The spelling of 48528832 in words is "forty-eight million, five hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2377 2552 4754 5104 9508 10208 19016 20416 26147 38032 52294 68933 76064 104588 137866 152128 209176 275732 418352 551464 758263 836704 1102928 1516526 1673408 2205856 3033052 4411712 6066104 12132208 24264416 48528832