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2402593248 = 2531123313191
BaseRepresentation
bin1000111100110100…
…1010100111100000
320012102220101100010
42033031022213200
514410030440443
61034223524520
7113352464016
oct21715124740
96172811303
102402593248
111023223960
12570759740
132c39b6113
1418b1368b6
15e0dd9733
hex8f34a9e0

2402593248 has 192 divisors, whose sum is σ = 7413202944. Its totient is φ = 673728000.

The previous prime is 2402593241. The next prime is 2402593313. The reversal of 2402593248 is 8423952042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402593241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751333 + ... + 754523.

It is an arithmetic number, because the mean of its divisors is an integer number (38610432).

Almost surely, 22402593248 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 2402593248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706601472).

2402593248 is an abundant number, since it is smaller than the sum of its proper divisors (5010609696).

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

2402593248 is a wasteful number, since it uses less digits than its factorization.

2402593248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2402593248 is about 49016.2549365004. The cubic root of 2402593248 is about 1339.3479503785.

The spelling of 2402593248 in words is "two billion, four hundred two million, five hundred ninety-three thousand, two hundred forty-eight".