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528250000 = 24562113
BaseRepresentation
bin11111011111000…
…111010010010000
31100210222212202211
4133133013102100
52040213000000
6124230121504
716043023315
oct3737072220
91323885684
10528250000
11251202053
12128ab0294
1385596685
145022ad0c
15315987ba
hex1f7c7490

528250000 has 70 divisors (see below), whose sum is σ = 1279944554. Its totient is φ = 211200000.

The previous prime is 528249991. The next prime is 528250003. The reversal of 528250000 is 52825.

It can be written as a sum of positive squares in 7 ways, for example, as 444197776 + 84052224 = 21076^2 + 9168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528250003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 248944 + ... + 251056.

Almost surely, 2528250000 is an apocalyptic number.

528250000 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 528250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639972277).

528250000 is an abundant number, since it is smaller than the sum of its proper divisors (751694554).

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

528250000 is an frugal number, since it uses more digits than its factorization.

528250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 528250000 is about 22983.6898691224. The cubic root of 528250000 is about 808.3755483911.

Multiplying 528250000 by its reverse (52825), we get a square (27904806250000 = 52825002).

528250000 divided by its reverse (52825) gives a 4-th power (10000 = 104).

The spelling of 528250000 in words is "five hundred twenty-eight million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2113 2500 3125 4226 5000 6250 8452 10000 10565 12500 15625 16904 21130 25000 31250 33808 42260 50000 52825 62500 84520 105650 125000 169040 211300 250000 264125 422600 528250 845200 1056500 1320625 2113000 2641250 4226000 5282500 6603125 10565000 13206250 21130000 26412500 33015625 52825000 66031250 105650000 132062500 264125000 528250000