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521426200 = 235231372273
BaseRepresentation
bin11111000101000…
…101010100011000
31100100011012021111
4133011011110120
52031441114300
6123423550104
715631023001
oct3705052430
91310135244
10521426200
11248371249
1212675b334
1384047719
144d3721a8
1530b9b9ba
hex1f145518

521426200 has 96 divisors (see below), whose sum is σ = 1285810560. Its totient is φ = 196300800.

The previous prime is 521426197. The next prime is 521426203. The reversal of 521426200 is 2624125.

521426200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (521426197) and next prime (521426203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521426203) 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 23 ways as a sum of consecutive naturals, for example, 228264 + ... + 230536.

It is an arithmetic number, because the mean of its divisors is an integer number (13393860).

Almost surely, 2521426200 is an apocalyptic number.

521426200 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 521426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642905280).

521426200 is an abundant number, since it is smaller than the sum of its proper divisors (764384360).

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

521426200 is a wasteful number, since it uses less digits than its factorization.

521426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 521426200 is about 22834.7585929871. The cubic root of 521426200 is about 804.8796548618.

It can be divided in two parts, 52142 and 6200, that multiplied together give a square (323280400 = 179802).

The spelling of 521426200 in words is "five hundred twenty-one million, four hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 37 40 50 62 74 100 124 148 155 185 200 248 296 310 370 620 740 775 925 1147 1240 1480 1550 1850 2273 2294 3100 3700 4546 4588 5735 6200 7400 9092 9176 11365 11470 18184 22730 22940 28675 45460 45880 56825 57350 70463 84101 90920 113650 114700 140926 168202 227300 229400 281852 336404 352315 420505 454600 563704 672808 704630 841010 1409260 1682020 1761575 2102525 2607131 2818520 3364040 3523150 4205050 5214262 7046300 8410100 10428524 13035655 14092600 16820200 20857048 26071310 52142620 65178275 104285240 130356550 260713100 521426200