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48190128 = 243732927
BaseRepresentation
bin1011011111010…
…1001010110000
310100200022102120
42313311022300
544314041003
64440514240
71123416000
oct267651260
9110608376
1048190128
1125224a58
121417b980
139ca368c
146586000
15436d853
hex2df52b0

48190128 has 80 divisors (see below), whose sum is σ = 145228800. Its totient is φ = 13763904.

The previous prime is 48190127. The next prime is 48190133. The reversal of 48190128 is 82109184.

It is not an unprimeable number, because it can be changed into a prime (48190123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15001 + ... + 17927.

It is an arithmetic number, because the mean of its divisors is an integer number (1815360).

Almost surely, 248190128 is an apocalyptic number.

48190128 is a gapful number since it is divisible by the number (48) 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 48190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72614400).

48190128 is an abundant number, since it is smaller than the sum of its proper divisors (97038672).

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

48190128 is a wasteful number, since it uses less digits than its factorization.

48190128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 48190128 is about 6941.9109760930. The cubic root of 48190128 is about 363.9033273848.

It can be divided in two parts, 481 and 90128, that added together give a palindrome (90609).

The spelling of 48190128 in words is "forty-eight million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 2927 4116 5488 5854 8232 8781 11708 16464 17562 20489 23416 35124 40978 46832 61467 70248 81956 122934 140496 143423 163912 245868 286846 327824 430269 491736 573692 860538 983472 1003961 1147384 1721076 2007922 2294768 3011883 3442152 4015844 6023766 6884304 8031688 12047532 16063376 24095064 48190128