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523240032 = 25372412713
BaseRepresentation
bin11111001100000…
…000001001100000
31100110120100101110
4133030000021200
52032422140112
6123530503320
715652316100
oct3714001140
91313510343
10523240032
1124939aa87
12127294b40
13845311b3
144d6c5200
1530e0913c
hex1f300260

523240032 has 144 divisors (see below), whose sum is σ = 1637323632. Its totient is φ = 145797120.

The previous prime is 523240021. The next prime is 523240033. The reversal of 523240032 is 230042325.

It is a super-2 number, since 2×5232400322 = 547560262174722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 523239990 and 523240008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523240033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191508 + ... + 194220.

It is an arithmetic number, because the mean of its divisors is an integer number (11370303).

Almost surely, 2523240032 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 523240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818661816).

523240032 is an abundant number, since it is smaller than the sum of its proper divisors (1114083600).

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

523240032 is a wasteful number, since it uses less digits than its factorization.

523240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 523240032 is about 22874.4405833236. The cubic root of 523240032 is about 805.8118589572.

Adding to 523240032 its reverse (230042325), we get a palindrome (753282357).

The spelling of 523240032 in words is "five hundred twenty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 392 492 574 588 656 672 784 861 984 1148 1176 1312 1568 1722 1968 2009 2296 2352 2713 3444 3936 4018 4592 4704 5426 6027 6888 8036 8139 9184 10852 12054 13776 16072 16278 18991 21704 24108 27552 32144 32556 37982 43408 48216 56973 64288 65112 75964 86816 96432 111233 113946 130224 132937 151928 192864 222466 227892 260448 265874 303856 333699 398811 444932 455784 531748 607712 667398 778631 797622 889864 911568 1063496 1334796 1557262 1595244 1779728 1823136 2126992 2335893 2669592 3114524 3190488 3559456 4253984 4671786 5339184 5450417 6229048 6380976 9343572 10678368 10900834 12458096 12761952 16351251 18687144 21801668 24916192 32702502 37374288 43603336 65405004 74748576 87206672 130810008 174413344 261620016 523240032