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2035142025 = 352712593079
BaseRepresentation
bin111100101001101…
…1100110110001001
312020211110221000120
41321103130312021
513131444021100
6533540053453
7101301264450
oct17123346611
95224427016
102035142025
1195486a364
12489694289
1326582c967
14154405b97
15bda050a0
hex794dcd89

2035142025 has 48 divisors (see below), whose sum is σ = 3849753600. Its totient is φ = 929309760.

The previous prime is 2035142017. The next prime is 2035142027. The reversal of 2035142025 is 5202415302.

It is not a de Polignac number, because 2035142025 - 23 = 2035142017 is a prime.

It is a super-2 number, since 2×20351420252 = 8283606123842201250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2035141986 and 2035142004.

It is not an unprimeable number, because it can be changed into a prime (2035142027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 659436 + ... + 662514.

It is an arithmetic number, because the mean of its divisors is an integer number (80203200).

Almost surely, 22035142025 is an apocalyptic number.

2035142025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2035142025 is a deficient number, since it is larger than the sum of its proper divisors (1814611575).

2035142025 is a wasteful number, since it uses less digits than its factorization.

2035142025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2035142025 is about 45112.5484205891. The cubic root of 2035142025 is about 1267.2576088044.

Adding to 2035142025 its reverse (5202415302), we get a palindrome (7237557327).

The spelling of 2035142025 in words is "two billion, thirty-five million, one hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 1259 3079 3777 6295 8813 9237 15395 18885 21553 26439 31475 44065 46185 64659 76975 94425 107765 132195 220325 230925 323295 538825 660975 1616475 3876461 11629383 19382305 27135227 58146915 81405681 96911525 135676135 290734575 407028405 678380675 2035142025