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528380440 = 23577923887
BaseRepresentation
bin11111011111100…
…111001000011000
31100211020111200221
4133133213020120
52040231133230
6124233005424
716044105520
oct3737471030
91324214627
10528380440
11251291055
12128b53874
1385610b63
1450262680
15315c227a
hex1f7e7218

528380440 has 64 divisors (see below), whose sum is σ = 1375948800. Its totient is φ = 178858368.

The previous prime is 528380423. The next prime is 528380441. The reversal of 528380440 is 44083825.

It is a junction number, because it is equal to n+sod(n) for n = 528380396 and 528380405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528380441) 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 15 ways as a sum of consecutive naturals, for example, 10177 + ... + 34063.

It is an arithmetic number, because the mean of its divisors is an integer number (21499200).

Almost surely, 2528380440 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 528380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687974400).

528380440 is an abundant number, since it is smaller than the sum of its proper divisors (847568360).

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

528380440 is a wasteful number, since it uses less digits than its factorization.

528380440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23984 (or 23980 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 528380440 is about 22986.5273584332. The cubic root of 528380440 is about 808.4420799125.

The spelling of 528380440 in words is "five hundred twenty-eight million, three hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 22120 23887 47774 95548 119435 167209 191096 238870 334418 477740 668836 836045 955480 1337672 1672090 1887073 3344180 3774146 6688360 7548292 9435365 13209511 15096584 18870730 26419022 37741460 52838044 66047555 75482920 105676088 132095110 264190220 528380440