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520375000 = 235623181
BaseRepresentation
bin11111000001000…
…100101011011000
31100021011210022011
4133001010223120
52031204000000
6123345235304
715616054165
oct3701045330
91307153264
10520375000
11247813492
12126332b34
1383a6a102
144d17b06c
1530a402ba
hex1f044ad8

520375000 has 112 divisors (see below), whose sum is σ = 1279671120. Its totient is φ = 198000000.

The previous prime is 520374937. The next prime is 520375001. The reversal of 520375000 is 573025.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520375001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2874910 + ... + 2875090.

It is an arithmetic number, because the mean of its divisors is an integer number (11425635).

Almost surely, 2520375000 is an apocalyptic number.

520375000 is a gapful number since it is divisible by the number (50) 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 520375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639835560).

520375000 is an abundant number, since it is smaller than the sum of its proper divisors (759296120).

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

520375000 is an equidigital number, since it uses as much as digits as its factorization.

520375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 520375000 is about 22811.7294390408. The cubic root of 520375000 is about 804.3384093921.

The spelling of 520375000 in words is "five hundred twenty million, three hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 181 184 200 230 250 362 460 500 575 625 724 905 920 1000 1150 1250 1448 1810 2300 2500 2875 3125 3620 4163 4525 4600 5000 5750 6250 7240 8326 9050 11500 12500 14375 15625 16652 18100 20815 22625 23000 25000 28750 31250 33304 36200 41630 45250 57500 62500 71875 83260 90500 104075 113125 115000 125000 143750 166520 181000 208150 226250 287500 359375 416300 452500 520375 565625 575000 718750 832600 905000 1040750 1131250 1437500 2081500 2262500 2601875 2828125 2875000 4163000 4525000 5203750 5656250 10407500 11312500 13009375 20815000 22625000 26018750 52037500 65046875 104075000 130093750 260187500 520375000