Search a number
-
+
48385479240 = 233257241149449
BaseRepresentation
bin101101000011111111…
…111101001001001000
311121220001211000111200
4231003333331021020
51243043140313430
634121124424200
73332015534100
oct550377751110
9147801730450
1048385479240
111957a38377a
129464248060
1347414217b7
1424b013a200
1513d2c78460
hexb43ffd248

48385479240 has 576 divisors, whose sum is σ = 189066150000. Its totient is φ = 10693509120.

The previous prime is 48385479239. The next prime is 48385479277. The reversal of 48385479240 is 4297458384.

48385479240 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 547 + 92 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3452502564 + 44932976676 = 58758^2 + 211974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107762536 + ... + 107762984.

Almost surely, 248385479240 is an apocalyptic number.

48385479240 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 48385479240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94533075000).

48385479240 is an abundant number, since it is smaller than the sum of its proper divisors (140680670760).

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

48385479240 is a wasteful number, since it uses less digits than its factorization.

48385479240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48385479240 in words is "forty-eight billion, three hundred eighty-five million, four hundred seventy-nine thousand, two hundred forty".