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525058050 = 2352112910973
BaseRepresentation
bin11111010010111…
…100000000000010
31100120222201020110
4133102330000002
52033403324200
6124033452150
716003630326
oct3722740002
91316881213
10525058050
1124a421980
12127a11056
1384a1984a
144da39986
1531167b50
hex1f4bc002

525058050 has 96 divisors (see below), whose sum is σ = 1469638080. Its totient is φ = 122886400.

The previous prime is 525058043. The next prime is 525058057. The reversal of 525058050 is 50850525.

525058050 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 (525058043) and next prime (525058057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 525057999 and 525058017.

It is not an unprimeable number, because it can be changed into a prime (525058057) 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, 42364 + ... + 53336.

It is an arithmetic number, because the mean of its divisors is an integer number (15308730).

Almost surely, 2525058050 is an apocalyptic number.

525058050 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 525058050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734819040).

525058050 is an abundant number, since it is smaller than the sum of its proper divisors (944580030).

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

525058050 is a wasteful number, since it uses less digits than its factorization.

525058050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 525058050 is about 22914.1451946172. The cubic root of 525058050 is about 806.7440551015.

The spelling of 525058050 in words is "five hundred twenty-five million, fifty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 145 150 165 174 275 290 319 330 435 550 638 725 825 870 957 1450 1595 1650 1914 2175 3190 4350 4785 7975 9570 10973 15950 21946 23925 32919 47850 54865 65838 109730 120703 164595 241406 274325 318217 329190 362109 548650 603515 636434 724218 822975 954651 1207030 1591085 1645950 1810545 1909302 3017575 3182170 3500387 3621090 4773255 6035150 7000774 7955425 9052725 9546510 10501161 15910850 17501935 18105450 21002322 23866275 35003870 47732550 52505805 87509675 105011610 175019350 262529025 525058050