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5425524000 = 2532531311593
BaseRepresentation
bin1010000110110001…
…01110110100100000
3112000010002011202100
411003120232310200
542102413232000
62254211450400
7251310123141
oct50330566440
915003064670
105425524000
112334626536
121074bb6a00
13686068a40
143967cbac8
1521b4aca00
hex14362ed20

5425524000 has 288 divisors, whose sum is σ = 20738141424. Its totient is φ = 1335398400.

The previous prime is 5425523963. The next prime is 5425524017. The reversal of 5425524000 is 4255245.

5425524000 is a `hidden beast` number, since 5 + 4 + 255 + 2 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 373726224 + 5051797776 = 19332^2 + 71076^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 462204 + ... + 473796.

Almost surely, 25425524000 is an apocalyptic number.

5425524000 is a gapful number since it is divisible by the number (50) 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 5425524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369070712).

5425524000 is an abundant number, since it is smaller than the sum of its proper divisors (15312617424).

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

5425524000 is a wasteful number, since it uses less digits than its factorization.

5425524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5425524000 is about 73658.1563711718. The cubic root of 5425524000 is about 1757.1704706575.

Adding to 5425524000 its reverse (4255245), we get a palindrome (5429779245).

The spelling of 5425524000 in words is "five billion, four hundred twenty-five million, five hundred twenty-four thousand".