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523350072 = 2335738459
BaseRepresentation
bin11111001100011…
…011000000111000
31100110202221100000
4133030123000320
52032434200242
6123533113000
715653254650
oct3714330070
91313687300
10523350072
11249465723
12127328760
138456c2cb
144d713360
1530e2ba4c
hex1f31b038

523350072 has 96 divisors (see below), whose sum is σ = 1679932800. Its totient is φ = 149524704.

The previous prime is 523350071. The next prime is 523350077. The reversal of 523350072 is 270053325.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523350071) 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, 5622 + ... + 32837.

It is an arithmetic number, because the mean of its divisors is an integer number (17499300).

Almost surely, 2523350072 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 523350072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839966400).

523350072 is an abundant number, since it is smaller than the sum of its proper divisors (1156582728).

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

523350072 is a wasteful number, since it uses less digits than its factorization.

523350072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38487 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 523350072 is about 22876.8457615992. The cubic root of 523350072 is about 805.8683437547.

The spelling of 523350072 in words is "five hundred twenty-three million, three hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 38459 76918 115377 153836 230754 269213 307672 346131 461508 538426 692262 807639 923016 1038393 1076852 1384524 1615278 2076786 2153704 2422917 2769048 3115179 3230556 4153572 4845834 6230358 6461112 7268751 8307144 9345537 9691668 12460716 14537502 18691074 19383336 21806253 24921432 29075004 37382148 43612506 58150008 65418759 74764296 87225012 130837518 174450024 261675036 523350072