Search a number
-
+
2408297248 = 257172331887
BaseRepresentation
bin1000111110001011…
…1011001100100000
320012211122011202101
42033202323030200
514413011002443
61034550100144
7113452121530
oct21742731440
96184564671
102408297248
11102646a405
1257264a654
132c4c32476
1418bbbd4c0
15e166484d
hex8f8bb320

2408297248 has 192 divisors, whose sum is σ = 6186958848. Its totient is φ = 898191360.

The previous prime is 2408297233. The next prime is 2408297267. The reversal of 2408297248 is 8427928042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 2408297198 and 2408297207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2714661 + ... + 2715547.

It is an arithmetic number, because the mean of its divisors is an integer number (32223744).

Almost surely, 22408297248 is an apocalyptic number.

2408297248 is a gapful number since it is divisible by the number (28) 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 2408297248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093479424).

2408297248 is an abundant number, since it is smaller than the sum of its proper divisors (3778661600).

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

2408297248 is a wasteful number, since it uses less digits than its factorization.

2408297248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 2408297248 is about 49074.4052230896. The cubic root of 2408297248 is about 1340.4070286496.

The spelling of 2408297248 in words is "two billion, four hundred eight million, two hundred ninety-seven thousand, two hundred forty-eight".