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2398491648 = 21039717
BaseRepresentation
bin1000111011110110…
…0001010000000000
320012011012000000000
42032331201100000
514403003213043
61034000000000
7113302562010
oct21675412000
96164160000
102398491648
111020982303
1256b300000
132c2bab237
1418a789c40
15e08792d3
hex8ef61400

2398491648 has 440 divisors, whose sum is σ = 8702730432. Its totient is φ = 644972544.

The previous prime is 2398491629. The next prime is 2398491653. The reversal of 2398491648 is 8461948932.

2398491648 is a `hidden beast` number, since 2 + 3 + 98 + 491 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 2398491594 and 2398491603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141087736 + ... + 141087752.

Almost surely, 22398491648 is an apocalyptic number.

2398491648 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 2398491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351365216).

2398491648 is an abundant number, since it is smaller than the sum of its proper divisors (6304238784).

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

2398491648 is an frugal number, since it uses more digits than its factorization.

2398491648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2398491648 is about 48974.3978829755. The cubic root of 2398491648 is about 1338.5853579041.

The spelling of 2398491648 in words is "two billion, three hundred ninety-eight million, four hundred ninety-one thousand, six hundred forty-eight".