Search a number
-
+
48536496 = 2434172203
BaseRepresentation
bin1011100100100…
…1101110110000
310101022220120000
42321021232300
544411131441
64452150000
71126360551
oct271115660
9111286500
1048536496
1125441208
1214308300
13a095228
146636328
1543db2b6
hex2e49bb0

48536496 has 100 divisors (see below), whose sum is σ = 148809672. Its totient is φ = 15220224.

The previous prime is 48536473. The next prime is 48536533. The reversal of 48536496 is 69463584.

48536496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 20931 + ... + 23133.

Almost surely, 248536496 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 48536496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74404836).

48536496 is an abundant number, since it is smaller than the sum of its proper divisors (100273176).

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

48536496 is a wasteful number, since it uses less digits than its factorization.

48536496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2225 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 48536496 is about 6966.8139059401. The cubic root of 48536496 is about 364.7731022412.

The spelling of 48536496 in words is "forty-eight million, five hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2203 2448 2754 3672 4406 5508 6609 7344 8812 11016 13218 17624 19827 22032 26436 35248 37451 39654 52872 59481 74902 79308 105744 112353 118962 149804 158616 178443 224706 237924 299608 317232 337059 356886 449412 475848 599216 674118 713772 898824 951696 1011177 1348236 1427544 1797648 2022354 2696472 2855088 3033531 4044708 5392944 6067062 8089416 12134124 16178832 24268248 48536496