Search a number
-
+
528233300 = 225274191801
BaseRepresentation
bin11111011111000…
…011001101010100
31100210222000212022
4133133003031110
52040211431200
6124225512312
716042623530
oct3737031524
91323860768
10528233300
112511a0551
12128aa2698
138558bbaa
1450224bc0
1531593885
hex1f7c3354

528233300 has 72 divisors (see below), whose sum is σ = 1313874240. Its totient is φ = 180576000.

The previous prime is 528233297. The next prime is 528233323. The reversal of 528233300 is 3332825.

It is a self number, because there is not a number n which added to its sum of digits gives 528233300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292400 + ... + 294200.

Almost surely, 2528233300 is an apocalyptic number.

528233300 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 528233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656937120).

528233300 is an abundant number, since it is smaller than the sum of its proper divisors (785640940).

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

528233300 is a wasteful number, since it uses less digits than its factorization.

528233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 528233300 is about 22983.3265651428. The cubic root of 528233300 is about 808.3670296885.

The spelling of 528233300 in words is "five hundred twenty-eight million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 419 700 838 1676 1801 2095 2933 3602 4190 5866 7204 8380 9005 10475 11732 12607 14665 18010 20950 25214 29330 36020 41900 45025 50428 58660 63035 73325 90050 126070 146650 180100 252140 293300 315175 630350 754619 1260700 1509238 3018476 3773095 5282333 7546190 10564666 15092380 18865475 21129332 26411665 37730950 52823330 75461900 105646660 132058325 264116650 528233300