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252175625 = 541341757
BaseRepresentation
bin11110000011111…
…10010100001001
3122120111211220222
433001332110021
51004024110000
641004555425
76151312622
oct1701762411
9576454828
10252175625
1111a38a309
1270552b75
1340324a60
14256c4a49
1517213a85
hexf07e509

252175625 has 40 divisors (see below), whose sum is σ = 348094824. Its totient is φ = 181440000.

The previous prime is 252175597. The next prime is 252175639. The reversal of 252175625 is 526571252.

252175625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 228856384 + 23319241 = 15128^2 + 4829^2 .

It is not a de Polignac number, because 252175625 - 28 = 252175369 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 332747 + ... + 333503.

Almost surely, 2252175625 is an apocalyptic number.

252175625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252175625 is a deficient number, since it is larger than the sum of its proper divisors (95919199).

252175625 is an equidigital number, since it uses as much as digits as its factorization.

252175625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 816 counting only the distinct ones).

The product of its digits is 42000, while the sum is 35.

The square root of 252175625 is about 15880.0385704821. The cubic root of 252175625 is about 631.7826599048.

It can be divided in two parts, 25 and 2175625, that multiplied together give a square (54390625 = 73752).

The spelling of 252175625 in words is "two hundred fifty-two million, one hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 205 325 533 625 757 1025 1625 2665 3785 5125 8125 9841 13325 18925 25625 31037 49205 66625 94625 155185 246025 333125 403481 473125 775925 1230125 2017405 3879625 6150625 10087025 19398125 50435125 252175625