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2393825280 = 21335711223
BaseRepresentation
bin1000111010101110…
…1110000000000000
320011211101220221120
42032223232000000
514400304402110
61033311552240
7113215115310
oct21653560000
96154356846
102393825280
111019285400
1256982b680
132c1c36282
14189cd3440
15e0256870
hex8eaee000

2393825280 has 672 divisors, whose sum is σ = 10040550912. Its totient is φ = 475791360.

The previous prime is 2393825263. The next prime is 2393825281. The reversal of 2393825280 is 825283932.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2393825281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104079349 + ... + 104079371.

It is an arithmetic number, because the mean of its divisors is an integer number (14941296).

Almost surely, 22393825280 is an apocalyptic number.

2393825280 is a gapful number since it is divisible by the number (20) 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 2393825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020275456).

2393825280 is an abundant number, since it is smaller than the sum of its proper divisors (7646725632).

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

2393825280 is a wasteful number, since it uses less digits than its factorization.

2393825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2393825280 is about 48926.7337965657. The cubic root of 2393825280 is about 1337.7167026524.

The spelling of 2393825280 in words is "two billion, three hundred ninety-three million, eight hundred twenty-five thousand, two hundred eighty".