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529716096 = 273271331163
BaseRepresentation
bin11111100100101…
…101001110000000
31100220202100212200
4133210231032000
52041101403341
6124321353200
716061340540
oct3744551600
91326670780
10529716096
112520135a8
12129498800
138598aaa0
14504cd320
1531787db6
hex1f92d380

529716096 has 384 divisors, whose sum is σ = 1948477440. Its totient is φ = 134369280.

The previous prime is 529716053. The next prime is 529716113. The reversal of 529716096 is 690617925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5297160962 = 561198284722962432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249711 + ... + 3249873.

It is an arithmetic number, because the mean of its divisors is an integer number (5074160).

Almost surely, 2529716096 is an apocalyptic number.

529716096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974238720).

529716096 is an abundant number, since it is smaller than the sum of its proper divisors (1418761344).

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

529716096 is a wasteful number, since it uses less digits than its factorization.

529716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 529716096 is about 23015.5620396288. The cubic root of 529716096 is about 809.1227081479.

The spelling of 529716096 in words is "five hundred twenty-nine million, seven hundred sixteen thousand, ninety-six".