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252575000 = 235510103
BaseRepresentation
bin11110000110111…
…11110100011000
3122121021010202122
433003133310120
51004124400000
641021320412
76154565156
oct1703376430
9577233678
10252575000
1111a632377
1270706108
1340434782
142578a3d6
1517292085
hexf0dfd18

252575000 has 48 divisors (see below), whose sum is σ = 591993360. Its totient is φ = 101020000.

The previous prime is 252574957. The next prime is 252575021. The reversal of 252575000 is 575252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19949 + ... + 30051.

It is an arithmetic number, because the mean of its divisors is an integer number (12333195).

Almost surely, 2252575000 is an apocalyptic number.

252575000 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 252575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295996680).

252575000 is an abundant number, since it is smaller than the sum of its proper divisors (339418360).

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

252575000 is an equidigital number, since it uses as much as digits as its factorization.

252575000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 252575000 is about 15892.6083447620. The cubic root of 252575000 is about 632.1160057844.

The spelling of 252575000 in words is "two hundred fifty-two million, five hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 10103 12500 20206 25000 40412 50515 80824 101030 202060 252575 404120 505150 1010300 1262875 2020600 2525750 5051500 6314375 10103000 12628750 25257500 31571875 50515000 63143750 126287500 252575000