Search a number
-
+
488476296 = 2332721141307
BaseRepresentation
bin11101000111011…
…000111010001000
31021001011011111200
4131013120322020
52000022220141
6120245424200
715050660100
oct3507307210
91231134450
10488476296
11230806520
1211770b060
137a27bb39
1448c36200
152cd3dab6
hex1d1d8e88

488476296 has 288 divisors, whose sum is σ = 1725403680. Its totient is φ = 123379200.

The previous prime is 488476273. The next prime is 488476321. The reversal of 488476296 is 692674884.

488476296 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 7 + 629 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1590975 + ... + 1591281.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2488476296 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 488476296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862701840).

488476296 is an abundant number, since it is smaller than the sum of its proper divisors (1236927384).

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

488476296 is a wasteful number, since it uses less digits than its factorization.

488476296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 488476296 is about 22101.4998586069. The cubic root of 488476296 is about 787.5554923858. Note that the first 3 decimals are identical.

The spelling of 488476296 in words is "four hundred eighty-eight million, four hundred seventy-six thousand, two hundred ninety-six".