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2050725600 = 253552711137
BaseRepresentation
bin111101000111011…
…1001011011100000
312021220210122200000
41322032321123200
513144441204400
6535254100000
7101550610560
oct17216713340
95256718600
102050725600
11962643550
1249294a600
13268b27b01
14156500da0
15c0082600
hex7a3b96e0

2050725600 has 864 divisors, whose sum is σ = 9417897216. Its totient is φ = 423014400.

The previous prime is 2050725587. The next prime is 2050725631. The reversal of 2050725600 is 65270502.

2050725600 is a `hidden beast` number, since 2 + 0 + 50 + 7 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 14968732 + ... + 14968868.

It is an arithmetic number, because the mean of its divisors is an integer number (10900344).

Almost surely, 22050725600 is an apocalyptic number.

2050725600 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 2050725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708948608).

2050725600 is an abundant number, since it is smaller than the sum of its proper divisors (7367171616).

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

2050725600 is a wasteful number, since it uses less digits than its factorization.

2050725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2050725600 is about 45284.9378932996. The cubic root of 2050725600 is about 1270.4839538598.

It can be divided in two parts, 2050725 and 600, that added together give a triangular number (2051325 = T2025).

The spelling of 2050725600 in words is "two billion, fifty million, seven hundred twenty-five thousand, six hundred".