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252500000 = 2557101
BaseRepresentation
bin11110000110011…
…01100000100000
3122121010022212212
433003031200200
51004120000000
641015541252
76154133414
oct1703154040
9577108785
10252500000
1111a590a95
127068a828
13404095ac
142576ad44
1517279c35
hexf0cd820

252500000 has 96 divisors (see below), whose sum is σ = 627537456. Its totient is φ = 100000000.

The previous prime is 252499981. The next prime is 252500023. The reversal of 252500000 is 5252.

It can be written as a sum of positive squares in 8 ways, for example, as 176252176 + 76247824 = 13276^2 + 8732^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499950 + ... + 2500050.

Almost surely, 2252500000 is an apocalyptic number.

252500000 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 252500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313768728).

252500000 is an abundant number, since it is smaller than the sum of its proper divisors (375037456).

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

252500000 is an frugal number, since it uses more digits than its factorization.

252500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 252500000 is about 15890.2485820707. The cubic root of 252500000 is about 632.0534324316.

Adding to 252500000 its reverse (5252), we get a palindrome (252505252).

The spelling of 252500000 in words is "two hundred fifty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3125 3232 4000 4040 5000 5050 6250 8080 10000 10100 12500 12625 15625 16160 20000 20200 25000 25250 31250 40400 50000 50500 62500 63125 78125 80800 100000 101000 125000 126250 156250 202000 250000 252500 312500 315625 404000 500000 505000 625000 631250 1010000 1250000 1262500 1578125 2020000 2500000 2525000 3156250 5050000 6312500 7890625 10100000 12625000 15781250 25250000 31562500 50500000 63125000 126250000 252500000