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523390032 = 243311831327
BaseRepresentation
bin11111001100100…
…100110001010000
31100110211222011000
4133030210301100
52032441440112
6123534022000
715653512314
oct3714446120
91313758130
10523390032
11249492750
12127347900
1384584559
144d723b44
1530e387dc
hex1f324c50

523390032 has 160 divisors (see below), whose sum is σ = 1659893760. Its totient is φ = 156574080.

The previous prime is 523390031. The next prime is 523390069. The reversal of 523390032 is 230093325.

It is a super-2 number, since 2×5233900322 = 547874251193922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 523389978 and 523390005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523390031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393753 + ... + 395079.

It is an arithmetic number, because the mean of its divisors is an integer number (10374336).

Almost surely, 2523390032 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 523390032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829946880).

523390032 is an abundant number, since it is smaller than the sum of its proper divisors (1136503728).

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

523390032 is a wasteful number, since it uses less digits than its factorization.

523390032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 523390032 is about 22877.7191170798. The cubic root of 523390032 is about 805.8888537225. Note that the first 4 decimals are identical.

The spelling of 523390032 in words is "five hundred twenty-three million, three hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 83 88 99 108 132 144 166 176 198 216 249 264 297 332 396 432 498 528 594 664 747 792 913 996 1188 1327 1328 1494 1584 1826 1992 2241 2376 2654 2739 2988 3652 3981 3984 4482 4752 5308 5478 5976 7304 7962 8217 8964 10616 10956 11943 11952 14597 14608 15924 16434 17928 21232 21912 23886 24651 29194 31848 32868 35829 35856 43791 43824 47772 49302 58388 63696 65736 71658 87582 95544 98604 110141 116776 131373 131472 143316 175164 191088 197208 220282 233552 262746 286632 330423 350328 394119 394416 440564 525492 573264 660846 700656 788238 881128 991269 1050984 1211551 1321692 1576476 1762256 1982538 2101968 2423102 2643384 2973807 3152952 3634653 3965076 4846204 5286768 5947614 6305904 7269306 7930152 9692408 10903959 11895228 14538612 15860304 19384816 21807918 23790456 29077224 32711877 43615836 47580912 58154448 65423754 87231672 130847508 174463344 261695016 523390032