Search a number
-
+
48000512 = 29759227
BaseRepresentation
bin1011011100011…
…0111000000000
310100022200022202
42313012320000
544242004022
64432452332
71121666120
oct267067000
9110280282
1048000512
112510554a
12140aa0a8
139c38291
146536c80
154332592
hex2dc6e00

48000512 has 80 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 20133888.

The previous prime is 48000509. The next prime is 48000523. The reversal of 48000512 is 21500084.

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 7 ways as a sum of consecutive naturals, for example, 211343 + ... + 211569.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 248000512 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 48000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

48000512 is an abundant number, since it is smaller than the sum of its proper divisors (63956608).

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

48000512 is an equidigital number, since it uses as much as digits as its factorization.

48000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 48000512 is about 6928.2401805942. The cubic root of 48000512 is about 363.4254107365.

Adding to 48000512 its reverse (21500084), we get a palindrome (69500596).

The spelling of 48000512 in words is "forty-eight million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 227 236 256 413 448 454 472 512 826 896 908 944 1589 1652 1792 1816 1888 3178 3304 3584 3632 3776 6356 6608 7264 7552 12712 13216 13393 14528 15104 25424 26432 26786 29056 30208 50848 52864 53572 58112 93751 101696 105728 107144 116224 187502 203392 211456 214288 375004 406784 428576 750008 813568 857152 1500016 1714304 3000032 3428608 6000064 6857216 12000128 24000256 48000512