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5888052000 = 253453171069
BaseRepresentation
bin1010111101111010…
…01000101100100000
3120012100102000220000
411132331020230200
544024320131000
62412133220000
7265624421235
oct53675105440
916170360800
105888052000
112551719686
121183a91600
1372ab30b4c
143dbdcb78c
15246dc3000
hex15ef48b20

5888052000 has 480 divisors, whose sum is σ = 22903760880. Its totient is φ = 1476403200.

The previous prime is 5888051993. The next prime is 5888052019. The reversal of 5888052000 is 2508885.

5888052000 is a `hidden beast` number, since 58 + 8 + 80 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 552626064 + 5335425936 = 23508^2 + 73044^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 5507466 + ... + 5508534.

Almost surely, 25888052000 is an apocalyptic number.

5888052000 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 5888052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451880440).

5888052000 is an abundant number, since it is smaller than the sum of its proper divisors (17015708880).

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

5888052000 is a wasteful number, since it uses less digits than its factorization.

5888052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5888052000 is about 76733.6432081782. The cubic root of 5888052000 is about 1805.7482899934.

The spelling of 5888052000 in words is "five billion, eight hundred eighty-eight million, fifty-two thousand".