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5772588480 = 263258392389
BaseRepresentation
bin1010110000001001…
…01011010111000000
3112220022010212201100
411120010223113000
543310240312410
62352450334400
7263023123011
oct53004532700
915808125640
105772588480
1124a252618a
12115128a400
1370cc34a39
143ca933008
1523bbb68c0
hex15812b5c0

5772588480 has 168 divisors, whose sum is σ = 19887285600. Its totient is φ = 1536878592.

The previous prime is 5772588467. The next prime is 5772588487. The reversal of 5772588480 is 848852775.

5772588480 is a `hidden beast` number, since 57 + 7 + 2 + 588 + 4 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772588487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415126 + ... + 2417514.

It is an arithmetic number, because the mean of its divisors is an integer number (118376700).

Almost surely, 25772588480 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 5772588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943642800).

5772588480 is an abundant number, since it is smaller than the sum of its proper divisors (14114697120).

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

5772588480 is a wasteful number, since it uses less digits than its factorization.

5772588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The square root of 5772588480 is about 75977.5524743986. The cubic root of 5772588480 is about 1793.8668297849.

The spelling of 5772588480 in words is "five billion, seven hundred seventy-two million, five hundred eighty-eight thousand, four hundred eighty".