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2385090048 = 29311241313
BaseRepresentation
bin1000111000101001…
…1001011000000000
320011012222010110110
42032022121120000
514341040340143
61032400431320
7113050634205
oct21612313000
96135863413
102385090048
111014359500
12566918540
132c01982b3
14188a9bcac
15de5cd533
hex8e299600

2385090048 has 240 divisors, whose sum is σ = 7177384368. Its totient is φ = 702873600.

The previous prime is 2385090031. The next prime is 2385090067. The reversal of 2385090048 is 8400905832.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2385089988 and 2385090015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7619940 + ... + 7620252.

Almost surely, 22385090048 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 2385090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588692184).

2385090048 is an abundant number, since it is smaller than the sum of its proper divisors (4792294320).

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

2385090048 is a wasteful number, since it uses less digits than its factorization.

2385090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2385090048 is about 48837.3837137085. The cubic root of 2385090048 is about 1336.0875795671.

The spelling of 2385090048 in words is "two billion, three hundred eighty-five million, ninety thousand, forty-eight".