Search a number
-
+
48111680 = 265251599
BaseRepresentation
bin1011011110001…
…0000001000000
310100112022211002
42313202001000
544304033210
64435111132
71122641201
oct267420100
9110468732
1048111680
1125181021
12141424a8
139c76a66
1465655a8
1543554a5
hex2de2040

48111680 has 56 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 19136000.

The previous prime is 48111677. The next prime is 48111689. The reversal of 48111680 is 8611184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48111689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80021 + ... + 80619.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 248111680 is an apocalyptic number.

48111680 is a gapful number since it is divisible by the number (40) 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 48111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

48111680 is an abundant number, since it is smaller than the sum of its proper divisors (67102720).

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

48111680 is a wasteful number, since it uses less digits than its factorization.

48111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 48111680 is about 6936.2583573567. The cubic root of 48111680 is about 363.7057558480.

The spelling of 48111680 in words is "forty-eight million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 599 1004 1198 1255 2008 2396 2510 2995 4016 4792 5020 5990 8032 9584 10040 11980 16064 19168 20080 23960 38336 40160 47920 80320 95840 150349 191680 300698 601396 751745 1202792 1503490 2405584 3006980 4811168 6013960 9622336 12027920 24055840 48111680