Search a number
-
+
48728832 = 28367947
BaseRepresentation
bin1011100111100…
…0101100000000
310101200200101120
42321320230000
544433310312
64500232240
71131121365
oct271705400
9111620346
1048728832
1125562769
121439b680
13a131939
14668646c
15442828c
hex2e78b00

48728832 has 72 divisors (see below), whose sum is σ = 131764416. Its totient is φ = 15983616.

The previous prime is 48728831. The next prime is 48728843. The reversal of 48728832 is 23882784.

It is not an unprimeable number, because it can be changed into a prime (48728831) 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 7 ways as a sum of consecutive naturals, for example, 50983 + ... + 51929.

Almost surely, 248728832 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 48728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65882208).

48728832 is an abundant number, since it is smaller than the sum of its proper divisors (83035584).

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

48728832 is an equidigital number, since it uses as much as digits as its factorization.

48728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 48728832 is about 6980.6039853296. The cubic root of 48728832 is about 365.2542970494.

The spelling of 48728832 in words is "forty-eight million, seven hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 947 1072 1608 1894 2144 2841 3216 3788 4288 5682 6432 7576 8576 11364 12864 15152 17152 22728 25728 30304 45456 51456 60608 63449 90912 121216 126898 181824 190347 242432 253796 363648 380694 507592 727296 761388 1015184 1522776 2030368 3045552 4060736 6091104 8121472 12182208 16242944 24364416 48728832