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525393750 = 235574003
BaseRepresentation
bin11111010100001…
…101111101010110
31100121121202201210
4133110031331112
52034000100000
6124045002250
716006526130
oct3724157526
91317552653
10525393750
1124a631112
12127b53386
1384b0659b
144dac6050
15311d2350
hex1f50df56

525393750 has 96 divisors (see below), whose sum is σ = 1501403904. Its totient is φ = 120060000.

The previous prime is 525393733. The next prime is 525393751. The reversal of 525393750 is 57393525.

It is a junction number, because it is equal to n+sod(n) for n = 525393699 and 525393708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525393751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129249 + ... + 133251.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2525393750 is an apocalyptic number.

525393750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 525393750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

525393750 is an abundant number, since it is smaller than the sum of its proper divisors (976010154).

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

525393750 is an equidigital number, since it uses as much as digits as its factorization.

525393750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 39.

The square root of 525393750 is about 22921.4691937493. The cubic root of 525393750 is about 806.9159511944.

The spelling of 525393750 in words is "five hundred twenty-five million, three hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 625 750 875 1050 1250 1750 1875 2625 3125 3750 4003 4375 5250 6250 8006 8750 9375 12009 13125 18750 20015 21875 24018 26250 28021 40030 43750 56042 60045 65625 84063 100075 120090 131250 140105 168126 200150 280210 300225 420315 500375 600450 700525 840630 1000750 1401050 1501125 2101575 2501875 3002250 3502625 4203150 5003750 7005250 7505625 10507875 12509375 15011250 17513125 21015750 25018750 35026250 37528125 52539375 75056250 87565625 105078750 175131250 262696875 525393750