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523663920 = 2433513171097
BaseRepresentation
bin11111001101100…
…111101000110000
31100111100212212000
4133031213220300
52033024221140
6123543534000
715656032653
oct3715475060
91314325760
10523663920
1124965a4aa
1212745a300
138464c110
144d79589a
1530e8ea30
hex1f367a30

523663920 has 320 divisors, whose sum is σ = 2058618240. Its totient is φ = 121208832.

The previous prime is 523663919. The next prime is 523663939. The reversal of 523663920 is 29366325.

It is a super-2 number, since 2×5236639202 = 548447802219532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476812 + ... + 477908.

It is an arithmetic number, because the mean of its divisors is an integer number (6433182).

Almost surely, 2523663920 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 523663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029309120).

523663920 is an abundant number, since it is smaller than the sum of its proper divisors (1534954320).

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

523663920 is a wasteful number, since it uses less digits than its factorization.

523663920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 523663920 is about 22883.7042455980. The cubic root of 523663920 is about 806.0294020599.

The spelling of 523663920 in words is "five hundred twenty-three million, six hundred sixty-three thousand, nine hundred twenty".