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2025528120 = 2334571123353
BaseRepresentation
bin111100010111011…
…0001101100111000
312020011101111020000
41320232301230320
513122013344440
6532554033000
7101123463540
oct17056615470
95204344200
102025528120
1194a3a3290
12486418760
13263844a65
14153022320
15bcc56730
hex78bb1b38

2025528120 has 640 divisors, whose sum is σ = 8882058240. Its totient is φ = 401448960.

The previous prime is 2025528091. The next prime is 2025528151. The reversal of 2025528120 is 218255202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5737864 + ... + 5738216.

It is an arithmetic number, because the mean of its divisors is an integer number (13878216).

Almost surely, 22025528120 is an apocalyptic number.

2025528120 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 2025528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441029120).

2025528120 is an abundant number, since it is smaller than the sum of its proper divisors (6856530120).

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

2025528120 is a wasteful number, since it uses less digits than its factorization.

2025528120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2025528120 is about 45005.8676174563. The cubic root of 2025528120 is about 1265.2589720123.

The spelling of 2025528120 in words is "two billion, twenty-five million, five hundred twenty-eight thousand, one hundred twenty".