Search a number
-
+
48539328 = 2632411049
BaseRepresentation
bin1011100100101…
…0011011000000
310101100001102220
42321022123000
544411224303
64452211040
71126402035
oct271123300
9111301386
1048539328
1125443352
1214309a80
13a0965c6
14663738c
1543dc053
hex2e4a6c0

48539328 has 56 divisors (see below), whose sum is σ = 129082800. Its totient is φ = 16097280.

The previous prime is 48539317. The next prime is 48539339. The reversal of 48539328 is 82393584.

It is an interprime number because it is at equal distance from previous prime (48539317) and next prime (48539339).

It is a self number, because there is not a number n which added to its sum of digits gives 48539328.

It is an unprimeable number.

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, 45748 + ... + 46796.

It is an arithmetic number, because the mean of its divisors is an integer number (2305050).

Almost surely, 248539328 is an apocalyptic number.

48539328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48539328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64541400).

48539328 is an abundant number, since it is smaller than the sum of its proper divisors (80543472).

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

48539328 is a wasteful number, since it uses less digits than its factorization.

48539328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 48539328 is about 6967.0171522683. The cubic root of 48539328 is about 364.7801966781.

It can be divided in two parts, 48 and 539328, that multiplied together give a square (25887744 = 50882).

The spelling of 48539328 in words is "forty-eight million, five hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1049 1446 1928 2098 2892 3147 3856 4196 5784 6294 7712 8392 11568 12588 15424 16784 23136 25176 33568 46272 50352 67136 100704 201408 252809 505618 758427 1011236 1516854 2022472 3033708 4044944 6067416 8089888 12134832 16179776 24269664 48539328