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528650240 = 212583311
BaseRepresentation
bin11111100000101…
…001000000000000
31100211202012210112
4133200221000000
52040313301430
6124242450452
716046311226
oct3740510000
91324665715
10528650240
11251455828
12129063a28
13856a68c1
14502d2b16
1531627195
hex1f829000

528650240 has 104 divisors (see below), whose sum is σ = 1288018368. Its totient is φ = 208240640.

The previous prime is 528650233. The next prime is 528650263. The reversal of 528650240 is 42056825.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 528650197 and 528650206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699685 + ... + 1699995.

It is an arithmetic number, because the mean of its divisors is an integer number (12384792).

Almost surely, 2528650240 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 528650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644009184).

528650240 is an abundant number, since it is smaller than the sum of its proper divisors (759368128).

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

528650240 is an equidigital number, since it uses as much as digits as its factorization.

528650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 528650240 is about 22992.3952645217. The cubic root of 528650240 is about 808.5796579039.

The spelling of 528650240 in words is "five hundred twenty-eight million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 311 320 332 415 512 622 640 664 830 1024 1244 1280 1328 1555 1660 2048 2488 2560 2656 3110 3320 4096 4976 5120 5312 6220 6640 9952 10240 10624 12440 13280 19904 20480 21248 24880 25813 26560 39808 42496 49760 51626 53120 79616 84992 99520 103252 106240 129065 159232 169984 199040 206504 212480 258130 318464 339968 398080 413008 424960 516260 636928 796160 826016 849920 1032520 1273856 1592320 1652032 1699840 2065040 3184640 3304064 4130080 6369280 6608128 8260160 13216256 16520320 26432512 33040640 52865024 66081280 105730048 132162560 264325120 528650240