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1052504064 = 2123331307
BaseRepresentation
bin111110101110111…
…111000000000000
32201100110202011000
4332232333000000
54123420112224
6252234452000
735040064653
oct7656770000
92640422130
101052504064
114a0124977
12254594000
1313a091291
149dad789a
15626030c9
hex3ebbf000

1052504064 has 208 divisors, whose sum is σ = 3229219840. Its totient is φ = 338411520.

The previous prime is 1052504059. The next prime is 1052504087. The reversal of 1052504064 is 4604052501.

1052504064 is a `hidden beast` number, since 1 + 0 + 5 + 250 + 406 + 4 = 666.

1052504064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10525040642 = 2215529609473032192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3428199 + ... + 3428505.

Almost surely, 21052504064 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 1052504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614609920).

1052504064 is an abundant number, since it is smaller than the sum of its proper divisors (2176715776).

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

1052504064 is an equidigital number, since it uses as much as digits as its factorization.

1052504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1052504064 is about 32442.3190293172. The cubic root of 1052504064 is about 1017.2036904599.

Adding to 1052504064 its reverse (4604052501), we get a palindrome (5656556565).

The spelling of 1052504064 in words is "one billion, fifty-two million, five hundred four thousand, sixty-four".