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528368500 = 225311175651
BaseRepresentation
bin11111011111100…
…100001101110100
31100211012220022201
4133133210031310
52040230243000
6124232434244
716044025642
oct3737441564
91324186281
10528368500
11251283090
12128b48984
13856085aa
145025c192
15315bd96a
hex1f7e4374

528368500 has 96 divisors (see below), whose sum is σ = 1333148544. Its totient is φ = 180800000.

The previous prime is 528368459. The next prime is 528368509. The reversal of 528368500 is 5863825.

It is a self number, because there is not a number n which added to its sum of digits gives 528368500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528368509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90675 + ... + 96325.

It is an arithmetic number, because the mean of its divisors is an integer number (13886964).

Almost surely, 2528368500 is an apocalyptic number.

528368500 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 528368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666574272).

528368500 is an abundant number, since it is smaller than the sum of its proper divisors (804780044).

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

528368500 is a wasteful number, since it uses less digits than its factorization.

528368500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 528368500 is about 22986.2676396147. The cubic root of 528368500 is about 808.4359903159.

The spelling of 528368500 in words is "five hundred twenty-eight million, three hundred sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 125 170 187 220 250 275 340 374 425 500 550 748 850 935 1100 1375 1700 1870 2125 2750 3740 4250 4675 5500 5651 8500 9350 11302 18700 22604 23375 28255 46750 56510 62161 93500 96067 113020 124322 141275 192134 248644 282550 310805 384268 480335 565100 621610 706375 960670 1056737 1243220 1412750 1554025 1921340 2113474 2401675 2825500 3108050 4226948 4803350 5283685 6216100 7770125 9606700 10567370 12008375 15540250 21134740 24016750 26418425 31080500 48033500 52836850 105673700 132092125 264184250 528368500