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528032500 = 2254211213
BaseRepresentation
bin11111011110010…
…010001011110100
31100210120211102021
4133132102023310
52040134020000
6124221322524
716041126232
oct3736221364
91323524367
10528032500
112510736a6
12128a06444
138551b688
14501b1952
153155411a
hex1f7922f4

528032500 has 30 divisors (see below), whose sum is σ = 1154706938. Its totient is φ = 211212000.

The previous prime is 528032489. The next prime is 528032501. The reversal of 528032500 is 5230825.

It can be written as a sum of positive squares in 5 ways, for example, as 381186576 + 146845924 = 19524^2 + 12118^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528032501) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 103107 + ... + 108106.

Almost surely, 2528032500 is an apocalyptic number.

528032500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528032500 is an abundant number, since it is smaller than the sum of its proper divisors (626674438).

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

528032500 is a wasteful number, since it uses less digits than its factorization.

528032500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211237 (or 211220 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 528032500 is about 22978.9577657473. The cubic root of 528032500 is about 808.2645871555.

The spelling of 528032500 in words is "five hundred twenty-eight million, thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 211213 422426 844852 1056065 2112130 4224260 5280325 10560650 21121300 26401625 52803250 105606500 132008125 264016250 528032500