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525163968 = 26327223809
BaseRepresentation
bin11111010011010…
…101110111000000
31100121012002112100
4133103111313000
52033420221333
6124040030400
716004551200
oct3723256700
91317162470
10525163968
1124a49450a
12127a62400
1384a55b14
144da66400
1531189213
hex1f4d5dc0

525163968 has 252 divisors, whose sum is σ = 1829440080. Its totient is φ = 143345664.

The previous prime is 525163939. The next prime is 525163981. The reversal of 525163968 is 869361525.

525163968 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (388800) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648748 + ... + 649556.

Almost surely, 2525163968 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 525163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914720040).

525163968 is an abundant number, since it is smaller than the sum of its proper divisors (1304276112).

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

525163968 is a wasteful number, since it uses less digits than its factorization.

525163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 844 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 525163968 is about 22916.4562705493. The cubic root of 525163968 is about 806.7982986096.

The spelling of 525163968 in words is "five hundred twenty-five million, one hundred sixty-three thousand, nine hundred sixty-eight".