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523103064 = 233114194729
BaseRepresentation
bin11111001011011…
…110101101011000
31100110022101111120
4133023132231120
52032403244224
6123523525240
715651205551
oct3713365530
91313271446
10523103064
11249307090
12127229820
13844b3a53
144d68b328
1530dcd779
hex1f2deb58

523103064 has 64 divisors (see below), whose sum is σ = 1430352000. Its totient is φ = 158104320.

The previous prime is 523103059. The next prime is 523103069. The reversal of 523103064 is 460301325.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (523103059) and next prime (523103069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523103069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108252 + ... + 112980.

It is an arithmetic number, because the mean of its divisors is an integer number (22349250).

Almost surely, 2523103064 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 523103064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715176000).

523103064 is an abundant number, since it is smaller than the sum of its proper divisors (907248936).

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

523103064 is a wasteful number, since it uses less digits than its factorization.

523103064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 523103064 is about 22871.4464780870. The cubic root of 523103064 is about 805.7415406432.

Adding to 523103064 its reverse (460301325), we get a palindrome (983404389).

The spelling of 523103064 in words is "five hundred twenty-three million, one hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 419 838 1257 1676 2514 3352 4609 4729 5028 9218 9458 10056 13827 14187 18436 18916 27654 28374 36872 37832 52019 55308 56748 104038 110616 113496 156057 208076 312114 416152 624228 1248456 1981451 3962902 5944353 7925804 11888706 15851608 21795961 23777412 43591922 47554824 65387883 87183844 130775766 174367688 261551532 523103064