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528461380 = 22537219301
BaseRepresentation
bin11111011111111…
…010111001000100
31100211101121201201
4133133322321010
52040241231010
6124234432244
716044563506
oct3737727104
91324347651
10528461380
11251336947
12128b92684
138563b955
1450283d76
15315db23a
hex1f7fae44

528461380 has 36 divisors (see below), whose sum is σ = 1140632388. Its totient is φ = 205660800.

The previous prime is 528461377. The next prime is 528461411. The reversal of 528461380 is 83164825.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 86452804 + 442008576 = 9298^2 + 21024^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17730 + ... + 37030.

It is an arithmetic number, because the mean of its divisors is an integer number (31684233).

Almost surely, 2528461380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528461380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570316194).

528461380 is an abundant number, since it is smaller than the sum of its proper divisors (612171008).

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

528461380 is a wasteful number, since it uses less digits than its factorization.

528461380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19384 (or 19345 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 528461380 is about 22988.2878875309. The cubic root of 528461380 is about 808.4833582264.

The spelling of 528461380 in words is "five hundred twenty-eight million, four hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 19301 27380 38602 77204 96505 193010 386020 714137 1428274 2856548 3570685 7141370 14282740 26423069 52846138 105692276 132115345 264230690 528461380