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2025807840 = 253357312161
BaseRepresentation
bin111100010111111…
…0101111111100000
312020011220200221000
41320233311333200
513122101322330
6533004032000
7101126040210
oct17057657740
95204820830
102025807840
1194a574461
12486532600
13263912184
14153096240
15bccae560
hex78bf5fe0

2025807840 has 384 divisors, whose sum is σ = 8368496640. Its totient is φ = 447897600.

The previous prime is 2025807793. The next prime is 2025807851. The reversal of 2025807840 is 487085202.

It is a happy number.

2025807840 is a `hidden beast` number, since 2 + 0 + 2 + 580 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2025807795 and 2025807804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936360 + ... + 938520.

It is an arithmetic number, because the mean of its divisors is an integer number (21792960).

Almost surely, 22025807840 is an apocalyptic number.

2025807840 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 2025807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184248320).

2025807840 is an abundant number, since it is smaller than the sum of its proper divisors (6342688800).

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

2025807840 is a wasteful number, since it uses less digits than its factorization.

2025807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2025807840 is about 45008.9751049721. The cubic root of 2025807840 is about 1265.3172122881.

The spelling of 2025807840 in words is "two billion, twenty-five million, eight hundred seven thousand, eight hundred forty".