Search a number
-
+
48285709488 = 24326183103643
BaseRepresentation
bin101100111110000011…
…010111010010110000
311121122010002012010200
4230332003113102300
51242342120200423
634103202155200
73326364521142
oct547603272260
9147563065120
1048285709488
111952902a235
129436952b00
13472685ba43
1424a0ba8c92
1513c911bd43
hexb3e0d74b0

48285709488 has 240 divisors, whose sum is σ = 140570836224. Its totient is φ = 15464701440.

The previous prime is 48285709463. The next prime is 48285709531. The reversal of 48285709488 is 88490758284.

48285709488 is a `hidden beast` number, since 4 + 8 + 2 + 85 + 70 + 9 + 488 = 666.

48285709488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75094095 + ... + 75094737.

Almost surely, 248285709488 is an apocalyptic number.

48285709488 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 48285709488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70285418112).

48285709488 is an abundant number, since it is smaller than the sum of its proper divisors (92285126736).

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

48285709488 is a wasteful number, since it uses less digits than its factorization.

48285709488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 48285709488 in words is "forty-eight billion, two hundred eighty-five million, seven hundred nine thousand, four hundred eighty-eight".