Search a number
-
+
48828096 = 26349419
BaseRepresentation
bin1011101001000…
…0111011000000
310101212201120000
42322100323000
544444444341
64502320000
71132013652
oct272207300
9111781500
1048828096
11256202a9
1214429000
13a167b85
1466b06d2
1544478b6
hex2e90ec0

48828096 has 70 divisors (see below), whose sum is σ = 144757140. Its totient is φ = 16274304.

The previous prime is 48828079. The next prime is 48828107. The reversal of 48828096 is 69082884.

It is a happy number.

48828096 is a `hidden beast` number, since 488 + 2 + 80 + 96 = 666.

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 9 ways as a sum of consecutive naturals, for example, 475 + ... + 9893.

Almost surely, 248828096 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 48828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72378570).

48828096 is an abundant number, since it is smaller than the sum of its proper divisors (95929044).

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

48828096 is an equidigital number, since it uses as much as digits as its factorization.

48828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 48828096 is about 6987.7103546155. The cubic root of 48828096 is about 365.5021449169.

The spelling of 48828096 in words is "forty-eight million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 9419 18838 28257 37676 56514 75352 84771 113028 150704 169542 226056 254313 301408 339084 452112 508626 602816 678168 762939 904224 1017252 1356336 1525878 1808448 2034504 2712672 3051756 4069008 5425344 6103512 8138016 12207024 16276032 24414048 48828096