[go: up one dir, main page]

Search a number
-
+
48836832 = 25311103449
BaseRepresentation
bin1011101001001…
…1000011100000
310101220011112120
42322103003200
5100000234312
64502424240
71132051302
oct272230340
9111804476
1048836832
1125626920
1214432080
13a16bb45
1466b3972
15444a28c
hex2e930e0

48836832 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 14622720.

The previous prime is 48836813. The next prime is 48836849. The reversal of 48836832 is 23863884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (221184) is a multiple of the sum of its prime factors (576).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 108544 + ... + 108992.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 248836832 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 48836832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

48836832 is an abundant number, since it is smaller than the sum of its proper divisors (92686368).

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

48836832 is a wasteful number, since it uses less digits than its factorization.

48836832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 48836832 is about 6988.3354241193. The cubic root of 48836832 is about 365.5239413592.

The spelling of 48836832 in words is "forty-eight million, eight hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 449 528 618 824 898 1056 1133 1236 1347 1648 1796 2266 2472 2694 3296 3399 3592 4532 4939 4944 5388 6798 7184 9064 9878 9888 10776 13596 14368 14817 18128 19756 21552 27192 29634 36256 39512 43104 46247 54384 59268 79024 92494 108768 118536 138741 158048 184988 237072 277482 369976 474144 508717 554964 739952 1017434 1109928 1479904 1526151 2034868 2219856 3052302 4069736 4439712 6104604 8139472 12209208 16278944 24418416 48836832